You will want to contact the airline to find out if they can fix that for you. I suggest arriving 2 hours early in case security has a long line. If you do that, you should be fine.
Re-booking an a later flight depends on your ticket and the airline. Call the airline as soon as you know you will be late. If you are on a round trip ticket make sure the airline has not cancelled your return flight when you miss the original flight.
There is a 45 minute rule at Burbank. If you don't check in 45 minutes B4 the departure time, you cannot board that flight. Use the 2 hr. rule. Have a safe flight.
Depends on how late! Usually takes like 30 minutes once you arrive at the airport until you get to the gate
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