Bad uni joints will have play in them if you hold the tail shaft and the joint out of the grea box / diff and try twist them in opposite directions there should be very little movement. If there is lots the joints are loose and worn out.
When you removed the tail shaft did you mark it to the diff and bolt it up in the same way again as this can cause vibrations if bolted up to a diffrent hole......
Hope it all makes sence

good luck
Cheers