Well, at least you found the likely culprit. However…
First immediately fill the lower unit with oil and tilt the engine to distribute the oil. In my opinion it doesn’t matter what type of oil. Personally I would use 5W30 because it’s thinner and will distribute more easily. The purpose here is to prevent corrosion from all that water that got into your lower unit.
Then I would drain the oil and refill with clean gear oil.
Unless line is removed very quickly, like as in you backed down on your own line and immediately shut down the motor, then you probably damaged the seal. But hopefully not the shaft.
The 2 of these seals that I’ve done because of wrapped line were totally trashed, but luckily the mono and subsequent mud or sand contaminated oil didn’t wreck the shaft or lower unit.
I’d get it to a mechanic as others have mentioned. The problem with waiting to see if it leaks is that you have to use the outboard a good bit. Well that use puts you well into the new season by the time you figure out you have a damaged seal … Now your outboard is sitting in line at the shop behind 500 others…