Ad 1: Typically, one BTS can process multiple cells. Conventional patterns are a single BTS spanning a circular area with one radiating circular antenna or a three-section BTS that spans three cells with sector emitting antennas. One cell can only be transmitted one BTS at a time. Two or more BTSs are not possible because radio communications will interfere with each other. Note that this is completely different in WCDMA / UMTS, as there is no concept of cells.
Announcement 2: Since one cell is covered by exactly one BTS, the cell identifier uniquely identified a specific BTS.
Announcement 3: Since the BTS does not contain any control logic, mobile communication directly communicates with the BSC, for example. about radio resources.
Edit after comment:
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