i have a few coach bags and the handles were wrapped with a foam white kinda see through material, never a clear plastic wrapping. once i had one with tissue paper, but in the end you should realize the person taht gave it to you meant well and accept the gift as it is.
i may be wrong but my vote is that it's not real. has anyone else bought a coach bag with a clear plastic wrap on the handles?
Also sometimes you don't even get a wrap around the handles, like if it was already in a display case and it's the last one.