Should I nail, and glue my hardwood flooring?
You said the subfloor is particle board, so if there's some kind of isolation under that you don't need more barriers.

Attaching your floor to the subfloor depends on what kind of floor that is. If it's floating floor, it needs to float, so no gluing at all, and you need some kind of padding to level out the floor. Generally floating floors are tongue/groove or click install.

And if it's kind of parquet you have to glue it to the subfloor, because the grip of nails to particle board is very weak.