The outer guy on the port side boom is probably cleaning it off, mainly salt from the air at night when things get damp or adding a new mooring line? The small boats under the booms are the ship's boats, used for taking the CO around or people on liberty. He is probably a boats'n 3rd class or able seaman.
Here is me with my daughter that was born in 1976, this was taken in Bremerton WA.
John
