The Mets and Hammerheads had a 2 hour, 58 minute rain delay before the game resumed in the sixth inning with the score tied.
After Adrian Rosario issued a leadoff walk in the eighth, Hammerheads centerfielder Christian Yelich ripped a single to center to put runners at the corners. Ozuna smashed a single past third into left field to give Jupiter a 2-1 lead. Mark Canha's sacrifice fly RBI extended the lead to 3-1.
The Hammerheads jumped to the early lead on Ryan Fisher's sacrifice fly to right in the first.
The Mets tied the score in the third inning. Cesar Puello drilled a leadoff triple to right-center. Danny Muno had a one-out, RBI single to center to plate Puello to tie the score.
St. Lucie starting pitcher Logan Verrett, a third round draft pick by the Mets in 2011 out of Baylor, pitched effectively in his seventh start after his promotion from low-A Savannah. Verrett allowed just one run in five innings and gave up three hits while striking out four and walking none.
Jack Leathersich tossed two scoreless innings and worked around two hits with one strikeout.
Rosario surrendered two runs and two hits with one walk and failed to record an out in the eighth.
Hamilton Bennett walked one and picked up the first two outs of the eighth before Jeff Walters came in relief with a strikeout to close the inning.
Muno finished 2-for-4 with an RBI. Puello went 1-for-3 with a run scored while Darrell Ceciliani went 1-for-3 with a walk.
The Mets were 1-for-7 with runners in scoring position and left six men on base.
St. Lucie hosts Jupiter in Game 2 of the best-of-three Florida State South Division Championship Series at Digital Domain Park on Wednesday at 6:30 p.m. Jacob DeGrom is the scheduled starter for the Mets.