5. if you final movement is on a tile with monster(s) on, you have to either test for stealth or activate monster(s)(If you don't have any monster in front of you). If you pass the test and the next tile is also with monster(s) and you move onto it in your next turn. You don't have to make a test for leaving the tile but only when you enter a tile?
By that I mean if you already have done the test you don't have do it when you leave, and only when you enter?
A tile will have MONSTER TOKENS which are different from MONSTERS (cards attached to heroes). The rules will make more sense if you don't confuse the two and think of them as the same thing.
You are correct, you only stealth when ENTERING a tile with MONSTER TOKENS (and no attached MONSTERS). You do not need to stealth when leaving a tile with monster tokens.