From what I have found, the first application of the TH200 4R was in Cadillacs with the 4100 aluminum V8 in 1982. I think the B bodies followed in 83 or maybe in 82 and then the G bodies got them in 1984 but around 100 or so late production 83's may have gotten it as well. According to the Hollander interchange system, they all interchange except for the Cadillac 4100 applications which seem to have used a special bolt pattern. I have also heard that G bodies first got them in 1985 and not 84, so I am not exactly sure on the year. The way to tell is to look at the frame on the driver's sied and see if it has 2 mounting bosses on the frame for the crossmember or only one. In any case, the best ones came from the performance models with the best of the best being from Turbo Regals. Newer models are better as GM steadily improved it over the years. The earliest years are best avoided as they are the weakest and GM hadn't worked out any of the bugs yet. Same goes for the TH700 R4 as the early ones have a terrible record of failures. These early versions of the OD transmissions were part of what gave GM such a bad rap during the 80's along with the diesels, variable displacement Cadillacs and the Caddy 4100 engine ( at least the early ones).
The crossmember you need will be in the rearmost mounting position on the frame on the driver's side of the car. Since your car lacks this provision (it's an 82 and was not available that year) you would also need to weld on a a new mount to the frame to properly locate a factory crossmember.