A lot has been carried over. The alphabet (alpha, bravo, charlie,...), units (nautical miles and knots).
Right of way rules are similar sailplanes have priority over powered aircraft, otherwise the one on the right has priority and in case of a face to face, you should turn right (or go up/down, but certainly not left)
They didn't completely reinvent navigation for aircraft and a lot of carry over is expected. I'd say port/starboard vs left/right is more of an exception than a rule, generally the same conventions are used when applicable.
Phonetic alphabet is more a radio convention than a navigational convention, and is also used by terrestrial radio users (ie military). Alfa/bravo/charlie was adopted as a NATO standard in the 1950’s; during WWII the US and U.K. used the able/baker/charley phonetic alphabet. And I think aviation adopted the NATO standard before maritime radio.
In sailing, the red/green lights help determine right of way and give way.
If to starboard red appear, tis your duty to keep clear.
Red Right Returning is used for coming into port in the US. However, in Europe, Australia, New Zealand, parts of Africa and most of Asia it is the opposite.
For example "traffic 3 o'clock" means there is someone on you right.
Port/starboard is not used in aviation and I don't know of any equivalent besides left/right.