Yep. That's about what small Navy ships had in the classic age of sail. On a small shift, often only 3-4 commissioned officers under the captain. Enough for one to be officer of the deck for each shift without the need to work double shifts, as long as all went well and no one was indisposed. The surgeon, purser, master (in charge of navigation), boatswain, carpenter, and gunner were all warrant officers.
What always gets me is that they have their Medical Officer on the bridge, navigating or firing weapons or whatever they have him doing.
" ensign jones to the bridge!"
" Bridge, go ahead Esign Jones."
"Sir,we have two crew members with flash burns over 3/4 of their bodies. Is the doctor there?"
"Yes, Ensign Jones, it's me, Dr. Bashir.
If you can come up here and relive me at tactical, I'll come down and be the doctor."
"Sir, I graduated with a degree in human biology, I only did a total of less that half a day simulated training on bridge tactical station."
"Ensign Jones, this is the captain, i'm sorry son, you'll have to take care of those burned crew mates, the doctor is busy right now. So stop chattering and free up the com-line."
