I have to be honest, if you have a coach, he will probably be able to help your FH just fine. And, from what I see, when you actually swing at the ball, the stroke is pretty decent for your level.
What I actually think is going on for you has something to do with not watching what your opponent is doing with the ball, not seeing it, or not paying attention when you need to be watching him.
When you see where the ball is going and move to it, you seem to do okay. But there are many shots where you look like you either were not expecting the ball to come back at all or you were expecting it to come back differently like, to a different spot or with a different spin. There are also some times when the ball placement forces you to move and you start moving so late that you end up moving very awkwardly.
I think all this has to do with you not fully focusing on seeing what your opponent is doing while he is making his shots.
Also, at the beginning, you look a little tentative on receiving backspin and trying to offensively attack it.
A couple of things you could do that might help these issues improve:
There are drills where a coach will hit a ball to the BH and then the next ball will go to the middle or wide and the coach chooses middle or wide at random. So: BH -> Middle or Wide, BH -> Middle or Wide. Because you don't know if the ball is going to go middle or wide after the BH you have to watch. The sooner you see it, the easier it is to get into position. Drills like this that introduce a random element and make you read what is coming at you, would help your ability to read your opponent and see where the ball is going sooner and more accurately.
I think you would be helped if your coach got you to serve short backspin and pushed for you to loop: serve -> push -> 3rd ball loop against backspin.
You also have to do a better job of serving to all areas of the table. Your opponent knew too often where your serve was going.
As a few people already said, your reverse pendulum serve is pretty nice. Regardless of which serve you are using, you should practice serving short, long, left, right, center....all of the above.
And you also should be thinking about what you would like to get back from your serve. What kind of third ball do you think you are most comfortable using to take control of the point? The serves that get returned in a way that gives you the best opportunity to take control of the points are worth learning. Learning how to serve in a way that sets you up is really useful.