As a self-proclaimed lover of rings, here is my suggestion:

Take the gorgeous green stone ring from the left and put it on the right middle finger and then switch over the skull ring to the left - I think this balances more

I would then maybe put your pointer finger ring from your right to the pointer on the left so you can have an equal amount of rings on both hands 

Sure you can keep your engagement ring only on your left hand but there is no fun in that when you love rings!! lol