You can`t resupply on carriers, but repairs work and are as cheap as on playerbases.
/conn works for ships docked on the carrier from what I`ve seen, you better don´t /conn your carrier with other ships docked though. They`ll be dragged with you to conn, but they can`t leave the usual way.
However, docking modules made it possible to get stucked ships out of conn on your own now. Dock the snub on the carrier in conn, /return the carrier. When I tried it the snub undocked 100k below the sun in the system the carrier returned to (still better than waiting for admins to move you though).
Back to my issue:
Am I the only one who has heavy problems with docking on player ships right now?
Ships can dock and are shown as docked, I can`t carry them around though. If they undock or get jettisoned they spawn at the point they docked on the carrier.