So the 4540 hoe has been on the L3750 for most of its life? With it off you'll think its a new, young, agile tractor!
On getting the 3-point to work, its probably not getting hydraulic power. Some dealers didn't plumb the machine to keep 3-point function, thinking the backhoe would stay mounted.
To power the 3-point hitch, the loader valve's "power-beyond" port needs a hose going back to the hydraulic block (where the loader valve is fed). This hose is normally a 7th hose on the valve. If yours only has 6, check the valve body for a plugged port with letters PB, where a hose could be added. If there isn't one, many machines use the loader's return port, although that can allow 3-point and FEL loads to be temporarily in series, not best practice.
I edited this when I noticed your comment that the bh uses a pto pump.
Hope this helps, Dick B.