A lot of people are asking for speed control so that definitely will go on the to-do list. Action log is a good idea too, I can see how that would be useful. I didn't consider anything like battle stats and I'm not sure how useful that would be for this game, but I might as well add it if it helps some people.
I will consider adding new mechanics to make things interesting later, I can see why it might get worse when the box is full, throwing away mons or skipping rewards doesn't feel too good.
Thanks for playing and taking time to write feedback!