Yes you can commission a Naval Air Squadron, it is the terminology used in the BR on the subject.
seadrills, sorry to hear that it was the worst Squadron you ever served on. I would hope that this incarnation of 825 NAS will be better than your experience of it. When did you serve with the Squadron?
825 has an illustrious history, including but not limited to a torpedo hit on the Bismarck, a VC in the Channel Dash, the Boyd Trophy for operations in Korea and a DSC in the Falklands for the RFA SIR GALLAHAD rescue. It also had a number of renowned aviators that have served over the years. As we create the Squadron we want to capitalise on our history to help build our unit identity and Esprit de Corps.