ok, I'll go more in-depth:
- stop trying to shield grab falco unless you know the falco sucks so much that it misses l-cancels. You were grabbing when falco wasn't even in front of marth.
- DI away when falco is comboing you (like at 2:50). Many falcos will try to keep changing their location in respect to marth (i.e. behind instead of in front) to make things more difficult. That falco should not be able to get so many dair to shine/utilt combos in a row.
- fsmash can't go through the platforms on DL64
- stay on the stage when edge guarding falco unless he does his firefox, in which case marth has tons of options.
- Don't put yourself on the ledge during falco's invincibility frames. Instead, you could try jumping above a platform, wavelanding onto it then pressing Z to light shield. If falco lands on the platform to grab you, then you can either jump off, wavedash off, or roll to the other side.
- Don't use your floaty side B unless you have to (like at 3:00 and you did it once before also) because you only have one until you land and do a wavedash/empty jump.
There is a thread made by Emblem Lord on approaching falco, but that didn't seem to be much of a problem in your case. I think you were too aggressive; the falco hit you too much, and you weren't reacting to what the falco did. You just seemed to be constantly approaching falco with fairs and nairs (which could have been spaced better).
You seem fairly knowledgeable based on your playing. What other characters do you play better than marth?