Yes, the UI interactions can and must be improved. For me it was always a mystery why I should click twice for actions without alternatives.
1. Agree
2. Agree
3. I haven't tried them myself but if it is working as described then also agree
4. Agree in general with automatic jump during the exploration mode, but it has a downside. There are secrets that require finding out a jumping route. How to deal with a click on the destination? The whole idea of a puzzle then will be gone. Also there are mushroom illusions on, which you can jump and fall. How to deal with them?
5. Agree
6. Technically you can fail on a natural 1, but I didn't check how they implemented that because it never happened for me.