Fairly familiar with LAX, but been a long time since I had to use the Eagle’s Nest, so have a couple of questions around an upcoming American Eagle flight with family in tow, which I assume will depart from gates 52A-J

1. How long before scheduled flight departure time should you be at the bus transfer point to take the bus from T4/5 over to 52A-J? Have a departure scheduled at 07:30am

2. Assume better to check in / bag drop and clear security at T5. However, time-permitting after security we plan to head across to T4 airside to use the Flagship Lounge (familiar with that route), so in conjunction with the answer to Q1 above, can we take the bus to 52A-J from T4, or should we go back to T5 to take the bus?

Appreciate any advice.