If it were an older rodent no way would I tell you that it's ok to leave it in there as long as he eats it. Right now it's fine, once they get to be weanling age and older you need to be careful, but fuzzies aren't going to hurt your snake. I would put the rodent in at night, leave the room, turn off the lights and check back in 30-60 minutes.
As for the stuck eye caps, they can be difficult to get off. If I ever have a stuck shed that I'm worried about getting off I just put the snake in a plastic tub with warm water and a towel. I let them soak in 85-90 degree water for 15 minutes then run the wet towel down their body.