If the lens is having trouble, the body could well be too. If I were you, I'd send both in. I suspect both lens and body have seen the same environment, and both have suffered.

Also, no point doing a CLA on a lens, only to find that the body mechanics are marginal and have issues.

Especially if you are not paying for the repair.

The beauty with Hasselblads is that they are very robust and relatively straight-forward to repair.