Shield more, especially against Falco. Shield and crawl are two major tools that you have against Falcos. Neither is guaranteed to get you close to him fast, but getting to Falco is your goal.
Stop Fsmashing so much. There are three threads currently active where Fsmash is being loudly denounced, at least by me. Maybe I'm just full of myself, but I'm right; fsmash is a horrible, horrible move. Therefore, stop using it. As Adapt has said somewhere, you can use it when you land a dsmash on an opponent who has over 160% on the edge of the stage, and it might KO. Even then, I'd prefer a bair or fair, myself.
LEARN HOW TO FOLLOW UP YOUR DSMASHES. Geez, mahn. Seriously, though. mid-angle ftilt does 6%. SIX PERCENT. You could do the percent you did by omitting a second dsmash, and just jumping backwards into a Plasma Whip. You could get more by doing the second dsmash, then chaining into a uair, and a second uair if Falco's at a low enough percent. Maybe you could even pull out a Plasma Wire into another uair. Seriously, dsmash is the best best best move in your arsenal. Don't waste it.
Also, stick with your suit pieces, and do your best not to let your opponent get to them. Trap them while they try to get to the suit pieces. Maybe toss one or two off. Definitely learn the physics of your suit pieces. The Falco player knew your pieces better than you did, and that's not a good thing.
I think those are some general things. Other than that, I can't remember any other major qualms.