Conversation so far:
When did A.J.
Styles return to the independent circuit?
On March 14, Styles returned to International Wrestling Cartel (IWC.
Did he leave it again in 2005?
On April 1, 2005, Styles returned to PWG.
What is PWG?
CANNOTANSWER.
What was a major event for him during this return?
On July 20, at CZW: Deja Vu II, Styles successfully defended the NWA World Heavyweight Championship against Rave.

Question: Did he have a major rivalry with Rave during this time?
Self-contained rewrite: Did AJ Styles have a major rivalry with Rave during 2003-2005?