My best guess:
(1) vectors was for separation, they knew their own position, they were looking for clearance.
(3) i have no other info, but was it localizer for oh one, zero one, runway 01?
(4) this could be on course for intercept, or on extended localizer
(5) with EMERG power, navigation is down to loc deviation and direction bearing with VOR and no DME. The VOR signal seems accessible, but the loc may have been lost as they descended too low.