For this itinerary, a rental car would be the best option to get around Jackson. Parking is usually free at most attractions. Expect to spend around $50 for a rental car and 30-40 minutes travel time between locations.
If you have additional time, check out the Eudora Welty House and Garden or visit Farish Street, the historic African American business district. If you have less time, consider removing The Mississippi Agriculture and Forestry Museum from your itinerary.
Jackson-Medgar Wiley Evers International Airport (JAN) is located 6 miles from downtown Jackson, MS. The airport serves multiple airlines and offers transportation options like rental cars, taxis, shuttles and Uber/Lyft. Expect to spend around 15 minutes driving to the city center.