You move around pretty good, but you move much more than you need to. Which is to be expected, being new at it and all. You throw a nice jab, but you throw the right hand from way too far away and come up short, or you reach with it, especially to the body. That type of thing will get you nailed.
I think that the problems with your right hand are really a problem with understanding and judging range and distance. Putting pressure, throwing more punches, sitting down on your punches and all that are just notions and things to say until you understand distance and how to get in position to do all of those things. A good place to start is by learning to circle and jab, both to the left and to the right. Then learn to stay just out of reach so you can step in with a jab. When you don't gauge it well, you leap back too far, then can't get back in again without leaping and reaching.
Finally, the big red flag. When you punch your chin is up in the air; seems to me like you are trying to pull your head back even as you want to move in with a punch. I would devote all of my energy to correcting this problem before I gave another instant of thought to moving forward and exchanging punches because you will get clocked real hard, even by a guy just swinging, much less a guy that has an idea of what he is doing.
Not bad, all in all. You move good, most of the rest is just inexperience and not knowing yet. But keep you chin down- the head should move with the torso.