Overall, very nice Falco. In the early parts of a stock, you spaced well, kept the pressure up, and seemed to know when to use what moves. For this part of your game, I only had 2 comments. First, you seemed a bit eager to move in and fight up close. Stay back and laser as long as your opponent will let you, since you have the better camping game.
Second, when he starts crouching, you can punish it by SHing the side-b over him. You don't want to do it every time, because he'll predict and punish. You want to do the SH dair like you were doing, plus the side b sometimes.
Where you started to have problems was when it came time to get the actual kill. You just started running in trying to get off a big hit and finish it. This won't work, especially against a fortress of a character like Snake. You need to keep your camping up, and wait for him to make a mistake that you can punish. Falco's kill moves are all very punishable, so you have to make sure you can get them in. If you're just going for it, he'll tear you apart.
Like I said, though, you're doing awesome for just a couple weeks.
BTW, do you live in San Antonio? I remember seeing a DSB playing snake at the Gamelot tourney a while back...