I had a look at your great demo and found 3 bugs.
All have to do with ladder and charakter animation, they are easy to reproduce so it shouldn't be to hard to fix them.
All bugs are found in this particular demo in the first level http://td2tl.com/scirra-store/super-platformer-engine-v1-1/
(I don't own the template so I don't know if this bugs are still in it or not)
1. Go up the ladder while holding down the left button. The charakter doesn't face the direction he's moving. The same is true if you jump down the ladder while holding left.
2. If you start all the way on top of the ladder and climb all the way down (not jumping off) you'll be unable to move left or right for a certain time.
3. If you shoot an arrow while you are on the ladder than press up to grab the ladder again before the charakter touches the ground you'll be stuck in the ladder climbing animation till you shoot another arrow.
I hope it helped and that it is a easy fix.