Ok I'll just say things that I see as I got through the vid
In the very beginning you try to force the grab way too hard, you should keep and eye open for opportunities but don't try forcing the grab. Also Jab > grab works really well because they normally try to shield after being jabbed.
You look like you tried to Bair a PK thunder2 in the beginning, the attack would go straight through yours and you would be take a lot of damage, you were lucky he didn't angle it upwards.
No randomly charging Forward smashes
when there is a large distance between you and somebody you should normally be short hopping and spamming lasers, in the case of Lucas, Ness, and GW (and some chars with reflectors) you should be doing a lot of empty SH's and only laser a few times when you don't think they will absorb the laser. This baiting of their absorption attack can give you openings to run in and attack.
You SH Dair a lot, not necessarily bad, but be careful with the spacing so you don't get punished.
It seems like you need to be a little bit more familiar with Lucas's attacks so that you know when you have opportunities to punish and when you don't.
Good read on the tether edge-guard, you should have Bair or Dair when he started doing UpB above the stage, that was a perfect opportunity to punish and take a stock. But it's better doing nothing than getting hit by it.
OMG that was an epic use of Zap pull by Lucas, nothing you could do there.
you look like you panic when you get hit off stage and just try to phantasm back whenever you can, stay calm, and try to land somewhere where you won't be punished.
Overall it looks like you were just playing somebody who was better than you, get some practice against new people and you'll get better.
Learn all the things in the stickies too.
