I do not know your boat at all but it sounds somewhat like mine. Mine is locally built and launched in 1977.
Some years ago I fiberglassed the forward bulkhead as water accumulated there..
It was still solid, whew.
THe plywood aft bulkhead is dry. It is done in three pieces. The two parts to the sides are glassed into place and don't contact the bilge. THe centre part is removeable but it too is not fiberglassed but it does not come fully down to the bilge floor. There is water present though which runs forward. It was screwed into place which I changed to aluminum , 3/16" thick by about 2" wide and floor to ceiling, bolted into place using 4 bolts each side. The aluminum strips are screwed into place on both sides. I have had occasion needed to remove that part of the bulkhead for easier access to the various pipe, hoses, cables as my boat is now old enough it needs that work.
To yours now, I would examine it closely for any more rot. Remove the rot, then soak the remaining part of the bottom edge with an antirot fluid and then glass it but not permanently , rather so it can be removed as I did above.
Or get a new piece of plywood that fits with an overlap onto each side , coat it with fiberglass and when that sets then bolt it.
I would suggest strongly that this piece be made removeable keeping the bottom about 2" above the bilge..
Just what I did.