There is some random RP in the Valley of Honor, and sometimes in Silvermoon, though it’s still picking back up after a slump. There’s also plenty of guild RP, and plenty of guilds to choose from. But another avenue of RP to be aware of is that WrA has a lot of public events, some recurring weekly, some annual, some one-off. While some are Horde and some are Alliance, a lot of them – possibly most? – are neutral/cross-faction. The Wyrmrest Community Project Discord server has a calendar full of public RP events and channels for finding RP and guilds, so if you have Discord, I’d suggest joining their server and having a look around.
No.