Eagles quarterback Deundre Pickett-White set the pace when he connected on a 50-yard pass to Sam Flowers on the first play of the game.
Pickett-White threw four touchdown passes and totaled 224 yards to help host Southwest (2-0) soar past Hialeah despite taking several careless penalties in the game.
Trevon Sands ran for 56 yards and a touchdown, and he added five catches for 82 yards for the Eagles.
Daquntay Smith led Southwest in scoring with two touchdowns.
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Bobby Clersier scored the only touchdown of the afternoon for Hialeah (0-2).