05/06 TJs with automatics have a serious problem with the transmission control module which was integrated into the PCM beginning in 05. The TCM can get so hot inside the PCM it can literally blow like an M80 firecracker blew up inside. That'll cause major problems for the 42RLE transmission.
Installing a new OEM or used replacement PCM is only a temporary fix, it's likely to just blow again.
@Mark cantrell at www.wranglerfix.com has come up with a different direct replacement Chrysler PCM that is a permanent fix for that problem if that's what has happened to your PCM. I'd give him a call (he's also a member here) and talk your issues over with him. He has a fleet of different model year TJs and can test yours to see if it's really bad. Or just send you the replacement if you and he agree it definitely sounds like a bad PCM.
Installing a new OEM or used replacement PCM is only a temporary fix, it's likely to just blow again.
@Mark cantrell at www.wranglerfix.com has come up with a different direct replacement Chrysler PCM that is a permanent fix for that problem if that's what has happened to your PCM. I'd give him a call (he's also a member here) and talk your issues over with him. He has a fleet of different model year TJs and can test yours to see if it's really bad. Or just send you the replacement if you and he agree it definitely sounds like a bad PCM.