@tarkonis:
Can I launch fighters… , fight combat… move the carriers in non combat to a more defensive location, then land the planes on them in that location.
Yes. Bear in mind that you must launch fighters before the carriers move and land them after the carriers move, and the fighters can only move four spaces total (unless you have Long Range Aircraft). Also, you must move the carriers in such a way that you can pick up all surviving fighters, if possible.
When making the fighters’ combat move, you must do it in such a way that all of them have a possible landing space after the battles are over. You can’t plan on losing any fighters, as you must assume that they will all survive. You must also declare any noncombat carrier movements necessary to recover the fighters. If the fighters survive, you must carry out those carrier movements to retrieve them. If they don’t, you’re free to move the carriers elsewhere.
@tarkonis:
Is it legal to move a tank through a territory you have just captured in order to assault another territory?
No. All combat movement must be completed before any combats are resolved. The only exception is unloading transports for an amphibious assault if there is a sea battle preceeding the assualt.
However, you can move a tank through a territory you just captured in noncombat movement to a friendly territory, even one you just captured, on the other side.