I'm glad to see someone still checks up on this thread. Thanks Arcnatural.
For the Falcon advice, be careful with aerial approaches. Ground approaches are much safer (d-tilts, grabs, ect.) but less rewarding. Platforms are a god send in this matchup, but note that Dreamland is a great Falcon stage, and that third level platform will become a big nuicence on that stage.
For stopping Falcon's approaches. Well, that part is pretty easy, since you can just eat through his aerials with uptilts, and on the ground you just d-tilt and react to what he does. But most Falcons will just dash dance and wait for you to miss an attack before approaching, so don't ever just throw out attacks.
And this bit is just a personal preference, but I find side B to be very useful in this matchup. After hitting with the first two hits, check to see if they DI'd behind you. If not, continue the combo. If they did, you get a free tech chase at lower percents, and you can get a free foward smash (or pretty much anything you want) at higher percents. If they shielded the first two hits, well, then you're pretty much screwed, but you can do the third hit down and trick them into trying to shield grab you (eventually they catch on and just jump and knee, but hey side B is a risky move). Side B has a lot of rewards, but a pretty big risk, so use it sparringly.