Few things i noticed:
-Edgeguarding needs more thought: consider your opponent. a CF is very limited when it comes to being edgeguarded. He will most likely have to up-b, meaning that he has to either land somewhere on the stage or sweetspot the ledge (most likely, your particular opponent will land on the stage because he is not very good, but that's beside the matter). Therefore, your most efficient options as Falco are to either edgehog him (sweetspot), wait for him to some slightly above the stage (missed sweetspot), prepare a forward smash (stage landing), or a combination of the above. For example, if u foresee an attempt at a sweet spot, but he goes for a landing, you can edgehop --> bair him to keep him off. See what I mean? I would say, stop only looking for the dair spike when ur opponent is off of the stage.
-Grabbing. Falco does have a grab you know. in fact, for me, it's one of the most hilarious moves in the games. who can beat four grabs in a row from a mindgaming falco? There were so many times when u could have grabbed the CF either after one of his aerials or when he was sheilding, ie. First Vid :18, :40-:41, etc. As falco, u can also use grabbing as an approach, but use sparingly because people can see it coming eventually, but there are alwys mindgames, which create an exception to every rule.
-Spacing. omg u attempted some prettynice things, but many of ur attacks failed because of bad spacing. you threw out so many attacks that even though the CF's approach was just as bad or even worse, he got in a lot of attacks just because you daired the air for like the fifth time in a row. by then, he saw what u were gonna do, and he knew you would miss. i dont personally know how to practice spacing, but you should look at videos of good players and study how they decide where to attack and what to attack with. That way, falco gameplay will naturally start to make more sense to you.
-Punishment. You, sir, didnt get punished nearly as much as you should have for all those missed l-cancels and improperly spaced attacks. But let's flip that coin. Your opponent made just as many if not more mistakes. dont let him get away with that! if he attempts a knee and gets inside ur shield (while ur blocking), grab that mofo! or do a dair or shine out of shield. if he decidss to run 5 miles away just to dash dance, SHL him until he stops being an idiot. ih you know hes gonna attempt a shield grab after u aerial him, do an empty shffl and combo his face open! overall, dont just focus on ur game; focus on his. i would suggest revisiting these videos and looking for any and all openings in ur opponents game where u could have possibly done damage to his percentage due to carelessness on his part.
You tended to cower away when you got inside his area. Ur falco, so he has more to fear (or atleast that's what u should be thinking). i.e. u both tended to roll away when u got close. instead, look for his roll and meet him where he ends up with a good ol' shine or grab.
the dair gimps that the CF got during the second match were stupid. stop charging ur up-b outside the stage where a CF can do that. go under the level and prepare for a tech, or use phantasm or something. ur recovery game was so predictable that a bad CF could edge guard u easily...that's saying something.
*Despite all of this criticism tho, i still dont think ur *that* in need of critique. I give a lot of words because i once posted vids on the boards for advice, and the feedback really helped. mostly, they just prompted me to think more about what i was doing,; they taught me not to do things purely on impulse. Overall, its [almost] easy for me to overlook ur tech skill problems because they will recover and improve with time. But i will say that u need to master ur dair and dair to shine fast fall timing against a sheild or not. any time u do a rising dair or a dair without a fast fall (because u timed it wrong) ur asking for a sheld grab.
**Really, i would like to critique that CF. omg, dude help him out lol. If he's one of ur only smash friends, get him to ask for advice on the CF boards. im horrible with CF myself, so i cant help much. But both of u keep on playing. ur a gleam of hope for the melee fanbase. And dont EVER place Brawl before Melee...EVER!!!!!!!!!!!!!!!!!!!