(U.S. English) Unless we are discussing the 7 named oceans specifically, it is always "the ocean." singular
If you are talking about what is going on under the surface of the water, such as swimming, it is "in the ocean."
It would not be common to say "on the ocean" unless you were speaking scientifically about something affecting a vast portion, or all, of the ocean.
You can tell a child to put their boat "in the water," "out on the water" if it is farther, or that a ship sailed the many seas/waters. The plural is used to imply crossing boundaries of multiple bodies of water. Yet, it is still not commonly used for ocean.