From Eagle terminal, you can take shuttle to either T4 or T5... so take the T4 one. It will take anywhere between 10 to 15 minutes depending on plane traffic at the T5 and T4 alley.
Once you arrive at T4, walk upstairs and you should get to your gate just as boarding to underway.
I assume you are on a single ticket so AA will probably wait for you to board. The late flights to Hawaii almost never leave on time because they always wait for connecting traffic.