Bilge pump generally has only an outlet hose.
Pump must sit in the lowest point in the bilge to pick up any water.
Pump will not suck up any water, it will only pump water that enters the pump.
The "lower unit seal" is pretty vague.
There is a seal on top where the driveshaft enters the gearcase.
Also one where the shift shaft enters the gearcase.
And one where the prop shaft comes out the back.
And a sealing gasket on each of the drain and vent screws - these are flat slotted screws.
Do not ever remove the phillips head screw ! ! !
All the seals are pretty easy to replace, except the prop shaft seal, which will require a special puller, or some ingenuity.
It could be that all you need are the gaskets on the screws.
I say, change the gear oil and replace the gaskets on the screws.
Then use the motor a time or two, several hours.
Let it sit over night.
Then remove the drain screw and let a little lube drain out and see if it water contaminated.
Always use new gaskets on these screws.
If it turns out that you need to replace the actual seals, seal kits are readily available, just provide the model number of the motor and we can steer you toward the correct parts.