i thought I would try and answer some of your questions...
1. If memory serves me correct TCAS RA becomes active, if selected, at 1000ft on your RAD ALT. Before 1000ft you will only recieve a TA.
2. TCAS will never descend you below a 1000ft during an RA, based on RAD ALT.
3. TCAS is not capable of giving avoidance laterally, it can only do vertically.
4. As for the right of way, I would expect it depends on varioue things, aircraft on approach vice departure etc etc. Perhaps the civi jet should have been held on the deck?? or perhaps the mil jet was getting some guns practise!!