I drove to Titusville yesterday on business and my car broke down in the Burger King parking lot next to Space View Park. How is that for a coincidence? At any rate with an hour wait for the AAA tech I took advantage of the time to wander around the park. The car started right up once he arrived and I drove it back to the dealer who fixed it.
The Burger King does stay open all night on night launches. The CVS pharmacy across the street is open 24 hours normally. The 7/11 down the street is also open 24 hours. Given that you should probably wait an hour or so before attempting to leave, you might wish to eat before you drive home.
When I went see the launch I arrived well before the launch and got a great place to watch from. Wandering around yesterday, I realized that there are not that many good places to watch from because of the gorgeous tall trees. However, if you find that Space View Park is full, you can go south along US 1 and there are other options. In addition, you can follow the signs to the Merritt Island National Sea Shore. Along the causeway there are other places to watch from.
Keep in mind that you can see a night launch from anywhere in central Florida that has a clear view to the east. Once you get over the trees, the view will be great where ever you are.