When you say you broke the dog rings, do you mean the synchro rings? Those are a matched set, did you put the new ones on as they came or could they have gotten out of orientation on you? Or maybe you got the OD synchro on in reverse orientation?
Sorry, I think the guy at the shop I bought the replacement parts called them "dogs" and I'm not sure why I said dog rings... after looking up the 2004 post I had, I see they are to "provide tension to the sliders so they don't just move around." I did this back at the end of 2004, and I have not driven the car much since then. 3-10 times maybe and after that 5th gear incident I didn't even bother trying to go back into 5th.
I'm going to pull the tranny this weekend and take it apart and check the OD synchro as suggested and install that reverse spring. I want to ensure I didn't break anything when I ripped it out of 5th.