Both of you are pretty good so I think there are only a couple things I should point out.
Disclaimer: I am no means good so people correct me where I am wrong.
1. You need to work on your laser work.....all of them. Your SHLs were incosistent (landed to fast so the laser was not even fire) while your LHDLs were either being shot the wrong way or too high. To solve the LHDL problem, I suggest pressing down instead of away from the edge. Where is the reverse short hop laser? Not particularly needed so much in that match up but the technique helps you stay mobile while pinning down your opponent.
2. Use more jabs. Even though shines are good for comboing and is a standard, jabs are good because it spaces well and can get a down smash/forward smash to kill people with (or hit them out for an edgeguard).
3. When edgeguarding, I suggest using back air as it is an invaluable tool for edgeguarding with Falco. I do not suggest to only use that because ledgehopped down airs and other edgeguarding techniques are always needed to keep your opponent guessing.
4. Do not down smash randomly. The lag will get you punished and against a fellow Falco, that is really bad news. Use jabs, down airs with a flubbed tech from him, or other follow ups before using down smash.
5. Not only did you abuse foward smash (not as much as down smash), you tried to use lasers into forward smash which is bad because again, you will be punished for it. If you do it alot, you will also miss alot.
As for your friend:
The same points except tell him to use pillaring or JC shines to pressure sheilds. His use of down tilts should be used sparingly like waveshining to pressure sheild. Down tilt is useful poking below the sheild but again use it sparingly (really sparingly). He did have some good jab usuage so encourage him to keep trying with them.
I tried my best to critique, but both of you are good. Read my disclaimer if you do not agree with any of these things, but please correct me if I am pretty wrong. I hope I helped.
