You are fully entitled to RP, though do not fool yourself into believing that RP is enforced in any way, shape or form just because it's designated as a "RP-PVP" server. Consider the amount of players and RP servers, does it seem feasible to you for bioware in any succesful way enforce RP?
Let me answer that with a resounding "No!"
There will always be ******s who will try their utmost to get under your skin. Do /ignore or turn off the general chat. Find buddies you like to hang around with and RP with them.
It's like filming yourself LARPing, putting it on youtube, and then complain that you get laughed at...