You were very clearly trying to slowly back out of the alley area where you could be seen from the street. They told you to stop moving around multiple times and you continued to do so.
Also, if you could provide proof they initiated the mugging in front of NPC, it would be appreciated.
The logs state you were tied here:
That location is precisely here (where the traffic cone has been placed for reference):
That position is marked as a red zone on the mugging map. Unless you have evidence showing otherwise, all the proof would say you were not mugged in front of the NPC. You also did not decide to say anything about supposedly being mugged in front of the NPC until you were told you would be PKed, which you could have made a ticket for and staff would have assisted you.
As to the point of them being mugging characters, I reviewed the relevant logs and there was not evidence that would say they were specifically mugging characters.
As for them saying they wanted to kill you, if you had followed FearRp and they killed you it would not have been a PK.