Okay,.. I'll try this.. Student.. 2 posts... VNY...
SWA does not have bases in LAX or BUR but they do fly in/out of both. The closest bases would be OAK, LAS and PHX. If you were, at some point, to be hired by SWA, you would have to commute to a base. You would have to drive from VNY to BUR and travel to one of the SWA bases to fly your trips. You would probably need a hotel room or 'crash pad' in that base for one night per trip.
If that is not something that you are willing to do, then SWA (and every other airline) is not where you need to be headed. You will need to be alot more flexible and cut the ties to home.
Hope that helps.....