Take a deep breath, don't be so aggressive, and learn your lasers lol.
The first thing I noticed straight off the bat was that your lasers were very high and slow. They are perhaps falco's most crucial aspect in his gameplay, learn them and learn them well. My guess is that you're probably pushing the buttons too fast, resulting in you not fast-falling them properly, learn the timing and practice.
While we're on the topic of lasers we can talk about two other laser techniques you lacked, RSHL and LHDL. I actually did notice a couple RSHL but they were all stationary, and thereby completely eliminated the point of them. In fact a lot of your lasers if not stationary lacked much velocity. Learn how to move while using them, this is crucial! As for the LHDL, it's self explanatory, learn it and use it =P.
Even beyond the lasers your game needs some improvement. Although your general tech skill was on spot you were really really painfully predictable. Approach with lasers and aerial. If that fox was more acute he could have easily punished you for it over and over again. Mix up your approach with RSHL, empty short hops, and wavedashes. Every approach no matter how seemingly unstoppable has a counter so you have to disguise it to the best of your ability.
The combos were good, however if you're going to immediately Jump-Cancel the shine into a down air, at least fast fall it correctly =P.
Keep up the work.