The metro and the Metrolink are two separate services (subway vs. light rail). Metro https://www.metro.net/riding/maps/ Metrolink: https://www.metrolinktrains.com/schedules/
No, unfortunately. I have gotten the red line as early as 4:50AM to LA but suggest you check their new schedule at metro.net
No 2 am usually
I'm not sure but I don't think so. Sorry.
Thanks! Your answer is awaiting moderation.