I have just added a change in to address the monsters not resetting, they will reset if you enter the house then train or save/load to reload the scene. I am about to upload it now.
Healing is supposed to happen when you die or return from the cave, but since I am making the main cave playable now, only when you die or use potions will you get healed. I will make a temp change to this in the next small update - probably tomorrow.
Thanks for the feedback! Thanks for playing!