A lot of the time, it seemed like you'd just throw out moves and hope they hit, like D-smashes (which are generally pretty bad) or Nairs. I would advise trying to find all the best uses for all of Falcon's moves so you can know what to mix up, and what to use in what situations and optimize your gameplay. I also noticed you virtually never use Bair, which is one of Falcon's best moves, it's an incredible spacing tool, early combo starter, and kill move. You also tend to not follow up on D-throws, it's a great move that while it won't always lead to combos, it at the very least sets up a powerful frame trap at all but very high percents, and so you don't need to try and make it combo, just force them to airdodge or jump out of it with an U-air, and you'll get tons of followup opportunities from that bnb setup.
While not related to your gameplay that much, every Falcon needs to really master Fox trots, dashdancing, and perfect pivots, Falcon's speed is arguably his best asset, and really being able to have lots of sophisticated movement options should really exacerbate the power of Falcon's speed to incredible heights.