Yoshi's Island is one of Marth's best stages. Easy stage spike, tilting platform HELPS with comboing, and you can't get caught under the stage.
You'll definitely want the center of the stage. It makes you more difficult to approach since there's a platform above you. Marth was able to keep you away from there, which made it that much harder to play.
1st Stock
Right in the beginning, you should've held your shield longer to avoid the dancing blade, and possibly used your Screw Attack. After you baited Marth's B-up, you already learned that your foe will use his B-up out of shield frequently. Unfortunately, you got hit by A LOT of dolphin slashes. At 0:18, I bet you used dsmash to try to poke under Marth's shield. Dsmash doesn't do that, dtilt does. I'll just assume you messed up. Luckily, you weren't punished for it. You tried throwing Marth off the stage a lot. That doesn't really do ANYTHING at low %s. What you should do is dthrow or fthrow Marth onto one of the platforms, where you can take advantage of him the most. Samus does great around platforms. As soon as you landed the first uair, you had Marth in your control. However, you kinda just let the opportunity slide by shield camping. You had the chance to follow through with that platform drop uair also. Try not to rely on projectiles too much.
You successfully shielded his dancing blade, good. After that you tried to hit under his shield with dsmash again and got punished. Here comes the bthrow again... Maybe if you full hopped your dair it may have worked. Remember both you and your foe's options, because he jumped to avoid the dair. The end of your second stock was met with a failed edge return. Marth was spaced perfectly from the ledge to avoid your attacks. In that case, you should ledge drop, double jump, wall jump, turn around projectile. Force Marth away from his good spacing. If you feel too vulnerable, you can bait Marth with ledge drop, double jump airdodges (feel free to move around in the air while doing this). If you do this fast enough, you can regrab the ledge right as your air dodge ends. This is a bit harder: ledge drop, wall jump towards the stage, double jump+airdodge through Marth.
Right as you respawned, you should make the most use out of your invulnerability. My favorite is to go in for a grab. If you succeed, good. If you miss and your opponent tries to punish you, well, lets just say you'll be the one doing the punishing. I found you shielding too much and not enough spacing. Use more side steps if you feel you are vulnerable to a grab. Your failed grabs disappoint me. No setups or mindgames
. The disappointment went away as soon as I saw your sexy spike, though! ^_^
2nd Stock
1:33-2:04 Rohins gets owned. Did you really think bthrow to edgehog would work? Naw, you know better than that! Your next stock looks a lot better, other than the failed missile cancel which tends to make people think you're a noob... Yeah, I get called a noob when I miss my MCs. Good double zair. Awesome spike! Bladewise uses too much shield breaker. This stock looked really good.
3rd Stock
Starts off good with a MC to dtilt. Partially charged shot pushes Marth just far enough for his dancing blade to miss, which nets you a grab (don't forget to pummel). Sadly, you keep using bthrow... you're not learning, are you? Bomb for zoning, okay. Punish the shield breaker with an ftilt. Okay, Samus has better punishing moves, and ftilt is a spacing tool. Nice job finally getting used to zair's timing on Yoshi's Island. Zair, missile, dash attack, bair was very cool. Missile+ftilt follow-up was nice as well, but you messed up when you tried to approach with zair. It would've been better if you retreated with it. Note how well you did during this stock because you stayed in the middle of the stage. Not going to comment on the ending. That was just too good, and you know it.