When I had back issues I relied mainly on Barbell rows (sounds painful but if you don't round your back etc and really concentrate on form it can be done) and dumbbell rows (which even though you brace yourself can be slightly less safe) and seated rows. I avoided T bar rows and lat pull downs.

You may or may not be able to do standing military presses (depending how your shoulders cope) with as low as weight as you need, which should have your stabilising back muscles.

Obviously start light and see what reaction you get.

Hope this helps give you some ideas