Match 1:
:15 - You attempted an fsmash on MK which gave GaW a free attack on you (an opportunity he failed to take advantage of).
Pay more attention to your opponent so that you know when to attack and when to defend.
:35: - You were able to get an fair string going on GaW but without a second jump you could only pull off two. The problem is that after the string finished, you used nair which left you open to attack. Remember, nair after fair is a good option when people are below you, not above you.
A better option would've been to use an air dodge. Since the fair string put you below your opponent, and GaW's dair beats Luc's options in this situation, an air dodge would've saved you from getting hit by GaW's attack.
:40 - Poor use of fair. GaW was in the middle of a jump, but right as you decided to fair he did a second jump which put him in an advantageous position. However, the problem in this case is that you continued to throw out attacks as if you were both in neutral positions. The bair that came after your fair was in no way going to hit GaW and so it only served to give you landing lag. Then you did an fsmash after landing, which is never a good choice against aerial opponents unless they're trying to escape your attacks and reach safety (which doesn't describe GaW here).
Shield would've been a good option to use in this situation. After the fair missed, you should've realized that you were in a bad position to attack but still a good position to defend. After reaching the ground safely, put up a shield and work from there. If GaW naired/dsmashed your shield, you could've damaged him with a grab or jab out of shield or any number of other options.
:42 - Dairing your teammate? Make sure you know where your teammate is in a doubles match at all times (unless he's dead already of course). This is easier said than done but it really only takes conscious practice until you get used to it.
As long as you consciously focus on paying attention to both your opponents and your teammate when practicing doubles, it'll become a habit.
Another thing about this is your choice of dair as a momentum canceling move. Fair should always be the move of choice when momentum canceling. The reasoning behind using dair seems to be that using dair causes that person to auto-fastfall. This isn't really false but doesn't apply to Lucario because the momentum canceling effects of his dair cause him to be unable to affect his movement when using dair in hitstun (hence why rising dair exists). Thus dair is worse than using nothing because at least while you're using nothing you still slow down. The only other reason I can think of for this is that it just becomes a habit somewhere along the way.
So the solution to this is to simply get rid of the habit and replace it with fair and fastfalling regularly.
1:01 - I'm not exactly sure what you did here, but anyway it's clear you did something that caused you to get hit by dsmash. By the time the dsmash hit you were already in a bad situation. You were on a small platform with little space and taking shield pressure from GaW. From what I saw you were paralyzed in your shield and unsure what to do.
I think the best thing you could've done here was to escape after the first dair came from GaW at 1:00. You had plenty of time to escape back to your teammate and possibly hit GaW with an fair in the process.
1:11 - Trying to hit GaW out of his upB? Never a good move because it's fast and has invincibility.
You probably already know this was a bad idea so I'm just going to tell you to pay attention to these urges to hope nonsense moves work and eliminate them whenever they come up.
1:16 - Again, not really sure what you did (maybe you didn't even do anything lol). All I know is that you got hit by a glide attack.
So if you did some sort of move, remember not to do it when MK is just about to glide attack you. And if you didn't do anything and weren't able to reach the ground fast enough to put up a shield, either fast fall after your jump next time or don't use ledge drop to jump when you could simply push the control stick towards the stage to get on normally or make sure ledge drop jump doesn't leave you vulnerable.
1:27 - Fair to dair. If you miss with fair, then dair is pretty much guaranteed to miss. And since dair stops your momentum, you put yourself right in position to get hit with a GaW bair.
Next time make sure you're prepared to give up on dair when using it leaves you vulnerable. Simply landing without doing anything or landing with an air dodge would have prevented you from sustaining damage and being hit towards MK.
1:35 - Trying to hit MK with dair before he gets to the ledge eh? Well you were about a step away from succeeding. However, right before you reached the ledge it should've been clear that you wouldn't make it. (In fact, I find it highly likely that you did realize this but simply kept going with your planned response anyway).
All you need to do is be prepared to drop your plan when it is clear that it's not going to work. Shield to jump away or shield to roll away would've saved you from a glide attack.
1:39 - Same situation as before really, only more subtle this time around. When you saw MK fall down into that river, it probably triggered that awful Lucario habit of dairing anything below you. Look at this part of the match though and tell me if MK was anywhere near your dair. And even worse, was the risk vs reward worth it? If you hit MK with dair then you give him about 10 damage and maybe kill him if he had bad DI. If you miss, MK can grab you, back throw you and pressure you into making mistakes (very easy since it's difficult to maintain composure when almost being gimped like that) so that he can gimp you at around 50% or at least do oodles of damage.
Next time make sure that when you dair, you're at least high enough so that you can escape if necessary. Although I'd recommend paying more attention to where MK actually is so that you don't dair improperly.
2:19 - Be careful of grabbing while facing the wrong direction. You utilted beforehand so you really have no excuse here for letting GaW grab you.
A better alternative would've been to roll behind GaW. Predictable yes, but in a doubles match it's much harder to see coming. And it's not like you've been spamming rolls either so feel free to do it in situations like this where you have no other options.
2:22 - An attempted fsmash after the previous grab. Seems like you let the pressure GaW was giving you affect your thinking and did a retaliatory fsmash to get GaW out of your hair. And then you got KOed. Whenever you're feeling pressured, you should be even more motivated to stay focused so as to not make rash decisions. I mean, would you really use fsmash after a GaW dthrow in any other situation?
Had you kept your shield up the worst that could've happened was another grab from GaW. The most likely scenario, however, was that GaW would've hit your shield, pushing you off the stage and giving you a chance to grab the ledge and reset the situation.
That's pretty much all I have to say about the first match. Otherwise at the end when only MK was left, you and Rob hit each other way too many times. To avoid situations like this, talk with your partner about who will take a solitary opponent at the end of the match. The last thing you want is a 1v2 comeback to happen against you.
And if anything in this is unclear just mention it and I'll try to explain better.