Thanks for the feedback! Not trying to say that you're wrong, and I do believe all these problems did occur, but I feel some of them might have been just because you didn't play on a Windows device. I'm not 100% sure how that would factor in, but most of the problems you're explaining have never come up for me once.
In the team select menu, I have found that when playing on anything but windows, it's very buggy and I'm not sure why. I do have a feature in place allowing you to click on another character if you select the wrong one, but I like the idea of deselecting them altogether.
When in combat, you're supposed to press the buttons at the bottom of the screen to attack, so no mouse and keyboard are required, and I'm not sure about the error that occurred. If it would not be too much trouble, do you think you could try to replicate it or at least tell me what was going on when it happened? Again, the inability to fight might also be the same thing that messed up the team select hitboxes.