There are no sex offenders registered for anywhere in the Old Forge vicinity. Old Forge itself rates an "extremely low risk" on the crime statistics chart. There have been no murders in five years on record. Minor crimes (public disturbance, speeding, shoplifting) occur infrequently and generally have no direct effect on tourists.
My wife and I, my parents, my kids, my in-laws all have vacationed in the Old Forge area over the last 35 years and never have had anything but a wonderful time. One Caution However.... there are bears in the area and they love food. If you are camping or picnicing, put all unused foods in proper receptacles (most camp grounds have them) and not in your camper, van or car for storage.
So have fun in this tourists' haven.
DO NOT go on any lakes during the winter until about the end of january early february they are not fully frozen until about then, ask around to the locals and see what they say, the lakes can be alot of fun but several people a year fall through, make sure you have self rescue equipment and know what to do if oyu do fall through