Rfa is remote fob somethingorother…It’ll be the module
You don’t tell us what your car and year is. If you disconnected the battery, it may have messed up its security settings, these will have to be reprogrammed via sdd. This happens between the years approx 2012 till 2015
You don’t tell us the codes that are still showing
I would extremely doubt if the abs code is causing the rp - your brakes will still work and I think it would show a light on the dash
Check very carefully the control boxes in the boot and the drivers footwell for any signs of water ingress, plugs too
A usual suspect for rp at your revs is unmetered air getting drawn into the air intake, but that would throw a fault code