I like that it seems that some of the old Melee/Brawl Falco mains are giving him a chance, but many things are being overlooked in this guide.
Despite Falco now truly preferring the air due to his recent buffs, you are missing his absolutely great ground game, jabs into grab, jab into tilts, and jabs into Smashes are all options that are useful in intense moments. You really didn't state much about his groundgame outside of it being suckish.
Back when we Falco mains didn't have much reason to get our opponent in the air (pre-patch Falco) we found that there is actually much use in his jab 1 and 2, especially when converting it into tilts.
Also, his up throw isn't the only way to rack up percent, I'd say that d-throw is still a good option with his rar bair > dsmash follow-ups or d-throw > nair-train follow-ups.