I can understand the temptation. I like Los Angeles, too. I think people who live there take it for granted.
It looks like you would still be back home for two full days to rest in between trips. If you had to go back to work those two days, I'd say forget it. But that's enough time for you to do laundry, re-pack, etc., as well as get plenty of rest, since you're just hanging out.
Sounds like you're still pretty young--you should go. Invest in experiences before it gets too hard for you.
