soap
Smash Hero
The most glaring thing in your neutral game is your hesitation. Not commiting to pressure. You'll have him in shield and you'll wavedash back from him trying to cover a nair oos or a roll but he will just jump or roll away.http://www.youtube.com/watch?v=h15MM11X9Cs
I'm not looking for handouts, I've studied this myself. But I would really appreciate advice from kk, soap, jolteon, l.
When you did go in, you are using too many dash attacks and rising nairs. Both those moves leave you vulnerable when he just chose to stay in shield. Which he did much of the time.
What you should be doing vs. Falcon is ftilt, which you did use somewhat game 2. You don't have to evade his aerials, you can stuff them with ftilt.
What has realllly changed my game is the run > dash cancel > ftilt. This is like my best weapon in this matchup. You can use it to approach on shields, stuff aerials, tech chase, continue combos. Just start subbing that into places where you would normally do a dash attack and you will be pleasantly surprised how much safer your game becomes.