Some random thoughts, in no particular order.
At the 1:27 mark, with your left leg forward, you throw a spin kick. You might want to try working on this: Bait him. While in that stance, open yourself up for his right leg kick. As his kick comes, block it with your lead arm/hand and use the blocking motion as part of your spin. If you get used to an initial blocking motion that's quick, it will propel you, and your spin kick will hit him before his kicking leg even touches back to the floor. It's really easy if you work on it.
At the 33, 55, 56, 1:13, 1:33, 1:43, 2:00 marks you are using your kicks to charge a toll! (Nice) You are making him pay for his movement. You're intercepting him. I know you guys are light sparring, and that's fine, but just put a little more "oomph" into those kicks that intercept. Not so he'll respect them (which he will) but to prevent injury to yourself. It's really important to do this. Really, really important.
Now - as the guys have said, you might be using your punches to set up your kicks, but it's actually a movement of your arms extending that's trying to set up your kicks - because we both know you aren't expecting those "punches" to hit him. And neither is he.
Better this session, but you guys are still kind of taking turns throwing kicks, - with no payment required. At least as far as punches are concerned. You might want to try this - get all "karate guy" at some points. You know, assume a stationary stance, locked and loaded, tense with fast twitch just screaming to be let go. Dare him to kick, just dare him. Let him kick - then just as he starts, slide in, step in, blast in, whatever and punch to HIT HIM. Reach in, lean in, slide in, even throw yourself at him if you have to, but punch him when he tries to kick. This is an exercise, not a tactic, it's meant to show YOU that you can actually reach a guy with a punch who is about to kick you.
Your right roundhouse kick to the head is going to be a corker in four or five more years. Keep working that sucker, bro.