I don't know about memories that are untrue, but I have dreams that make absolutely no sense to me. My therapist says that it doesn't matter if it doesn't make sense to me, it is what my brain needs to do right now. So I would assume that could also translate to false memories, it is what your brain needs to express.
Elad - It would be worth talking to a therapist about and getting a consultation. I guess the brain processes trauma in different areas and using EMDR helps it to put together the events and the emotions ... It's really hard to explain. But the mugging could be a traumatic experience for you, also there may be other things that it can help with. My therapist has said that she has seen a lot of success using EMDR for other places where people just seem to be "stuck" during normal talk therapy. So I'm not sure, but it could be worth a consult.
It is difficult though. It dredges up a LOT of emotions that I did not know i had and has been scary at times. From what I've learned, it will be worth it. So I'm willing to give anything a shot at this point.
Going again in a few hours for another session.