No one else has answered and want to help you. LAX and MIA have been fluctuating as an option at AE. At my interview, they said MIA and LAX were closed to new hires. Actually the interviewing line captain laughed at one of the fellow interviewee requesting LAX. When I was called for my class, they said the March 17 class has all bases open and available.

Its possible you can be sent to another base to cover. I am not with AE yet, but I would doubt it. HOWEVER, I have seen posting on APC that BOS reserve pilots have been sent to ORD to cover flying. So maybe LAX could aswell? Also, just about everyone has told me Reserve pilots will fly their butts off over 85 hours a month. It's good for pay and the logbook.

I dont know if you can still fly as an instructor. There may be something in the company's SOP. However, my former instructor is a Horizon Q400 captain and flies Turbine Beavers for Kenmore Air on her days off. So your inquiry isnt too far off, I would say it would probably be doable. But I am new to 121 regs and AE policies. I am thinking it could play into your duty times however. You may max out quickly and not be able to do a whole bunch of instructing.