I can't answer the touchpad issue (maybe it just needed some driver updates?) but the other problem is familiar to me. I've had several customers get hit with it, and it's annoying. Apparently Windows 10 isn't great at deciding what kind of computer it's been updated on, and says "hey, a touchscreen, I must be a tablet!" And it sets the tablet mode as the default. I have no clue why it wouldn't just use the last mode.

You can change it in Start - Settings - System - Tablet Mode.