Back in my SE-R days, that car was notorious for 5th gear pop-out. The fix included a slew of parts including (but not limited to) a new 5th gear, a synchro and a shift fork. 3rd gear popout is not common on this chassis and the path of least resistance may be a used transmission.
Before diving off the deepend though, have you checked the fluid level for the transmission? And better yet, have you changed the fluid recently? Being low on fluid can have adverse effects on your transmission.