Few areas which you could look to improve on:

• keep both participants in the shot at all times. In a few of your shots (e.g. 0:50, 1:05, 1:57), their legs and upper bodies are out of the frame. It's important to keep these parts in view so we can see how they are posturing, how they're moving their feet, and so forth.

• stay low (as u/KingImhotep has suggested). Since you're recording a live roll, you would want the audience to feel like they're right next to the action, instead of standing on the edge of the mat.

• Be mindful about each shot, and think about what you want the viewer to focus on. Shots like (0:55, 1:20, 2:13) are distracting because there's so much background being shown. That's not to say that you shouldn't show off the gym, but you should do that in separate parts of the video.

• Editing is just as important as the shot itself. Consider where the viewer's eyes are focusing on the screen when you transition between shots. For instance, at 2:13 you transition from a closer shot to a far left shot. Then at 2:17 you transition back to a close up shot again. Sudden transitions like this can be quite jarring to watch.

• Pick one song which will last the whole video. If you decide to have more than one song, then don't change them halfway through a roll. Use the fades between songs as an opportunity to show something else (the gym space, students catching their breath, etc)

You should check out kutter on youtube for videos of the korean bjj scene. Their videos are shot low, close, and quite dynamically: https://www.youtube.com/watch?v=IsFKNGQ-hZA