Positives:
You move around, simulating vying for position, and you have defensive motions mixed in.
Things to work on (IMO):
Overall, you seem to be relaxed for the most part just moving around; but as soon as you start using your hands and feet things become disconnected. Basically there's still a lot of friction in your some of your striking. Try to stay completely relaxed when you punch and kick. I.e. get loose, let your hands go a little more, let your legs get full extension and don't try to pull them or slow them down.
As far as specifics...your punches are way too close at times, your uppercuts especially. There's times when you're standing tall and your uppercut is literally right in front of your face. Get down lower, let your hips do the work on that punch if you're going to use a more vertical pathway. Otherwise you're going to need to extend it out a little further since the guys head isn't going to be RIGHT in front of yours when you're standing tall like that unless you're in clinch range...speaking of which, for variety you can try and add some clinch work during my shadowboxing as well. Simulate getting certain grips and throw your knees. It's great for your core. Also, where were the knees, elbows, and so forth?
On your leg checks, make sure you always come back with some counter. It doesn't have to be a same-side kick either. It can be punches, or a kick from the opposite leg as well. But get used to giving your opponent something back for trying to hit you.
Your kicks need some polishing too. You're seemingly trying to pull them. Relax your leg and torque your hip. Let the leg just go. Hump the air, let the kick go just past the impact point and then down, then bring it back. Try switching up the angles and kicking immediately after with the other leg. It's good practice to get your feet moving a little quicker. Don't forget about lead leg kicks, switch kicks, low kicks, and downward (neck) kicks too!
Lastly, you should have worked on talking to that chick too. Tsk Tsk.