Would my body not accepting Restalyne in my lips or is my body rejecting all fillers?

If you can infection, it's not the filler material that gave it to you. It's the technique and the fact that lip mucosa cannot be completely sterilized. You should listen to the doctors who examined you. You should consider dissolving any remaining filler material before getting injected again. 

It is very rare to have reactions to fillers.   Usually, these reactions present as painful, red and hard and appear to be infectious.  It is possible to react to one filler and not others.  It is also possible that the reactions were not related to the product but the injection technique and possibly herpetic.  If you are concerned about future injections, find a physician who is willing to place a small amount of filler in your inner arm as a skin test to see if you have a reaction.   Best of luck.

It's very uncommon to have a reaction to fillers.  Since you break out on only one area of your lips, and not everywhere that the filler is placed, you most likely have a reactivation of herpes in that area.  When you do your next lip filler treatment, ask your injector for a prescription of an anti-herpes pill.