Car rental in STT

I am visiting the island in June for the first time! We are a party of 6. I have booked an SUV Grand Highlander to rent for the week. Will parking be an issue as we go around the island? We are staying at Marriott Frenchman’s Cove so we will be going to surrounding areas for dinner, i.e. Red Hook, Charlotte Amalie,etc. Any other STT tips are welcome!