You cannot kill the enemies in the room with the 2nd data or the doors will not open. No idea why.

Interact at first and second door - there's a terminal by both - after second terminal return to first door It'll only open for a few seconds but wait because it open n close again

Not the right burn. It's one of the burns (void, solar, arc), primary (normal gun), or you have to use the valkyrie (the deep red markers).