When I dove with them they included all the dive equipment but they didn't include dive computers.
Yes, Air Tahity are very extrict with the weight limit with carryons. Mine was over the weight limit and they didin't let me take it inside the plane with me.
I told them it was photography equipment so the told me to take it with me and once I was near the plane I gave it to a staff member that put it in a different compartment.
The sailfish was incredible. Fakara has some incredible dive sites.
If you dive with Fakarava Dive Center, be sure to let tem know that you want to go to the South Pass. They need a minimum of people to go there. Is a long boat ride from the noth shore to get there.