There are only two leak paths with this pump. The obvious one is from around the cover. Depending on which pump version you have, that might be sealed with an o-ring or a paper gasket.
The other path is if the shaft seal is leaking. Then water drips not from where it bolts to the engine, but from a hole an inch or two before that. It is designed this way so a shaft seal leak does not put raw water in the engine oil!
If the shaft seal is leaking, the pump needs to be removed from the engine and rebuilt. Since the bearings have now been "washed" with salt water they should probably be changed with the seals.
It is not an uncommon problem as the pump ages.
Annapolis, MD, USA