I'm an hour west of Jax.
We aint had no rain.
Watermelon is a water hog to begin with. Too little water often presents in fruit as blossom end rot. The plant is not getting calcium because the soil and
roots needs water to move calcium. The next problem is your soil. It's sugar sand. In your area it's a dark grey. Nutrients flow right through it until the soil is brought into a high condition. Add lime for now. Add everything for later.
For the grubs, I've had excellent results with Bt. Mostly I get coddling moth larvae and leaf rollers.