Sets can be anything from "designed to take up/put down every week" to "would destroy big chunks of it to try and take it down."So for the Enterprse set, either they continue filming those at Pinewood, or they move the sets to CBSSC. Seems unlikely it would be feasible to move a complete set? I dunno how mobile they are.
Depends entirely on intent in the design/build phase, including whether the production company is prepared to lease the space exclusively for as long as the series lasts and the complexity of the set (DS9's Promenade would never have been feasable as a strike-and-rebuild set for size alone.)