If I deconstruct the alien containment, can I rebuild it in another place? Right now the facility is located at a square I need to get a 2x2 arrangement for my satellite uplinks.

I would assume so. Why not build a second one first, then destroy the first one? IIRC, destroying stuff takes quicker than building it.

Don't think you can Ice. Build a second one I mean - the option doesn't show up on the menu unless I remove the first one.
Thanks.