Found my prop shaft, front and rear to be loose. Got the front out, now looking at the back..

Do I have to remove the rear diff, or can I slide it back like I did with the front drive shaft?

I guess as a side note, the rear was not nearly as loose as the front, but there is some wiggle. How much is normal? Is that coupler attached to the rear diff spline normally a bit wiggly?

If this is gunna be a big job (removing rear end) I want to be sure it’s actually a problem.

Brand new here,

Thanks in advance!