How do I get my form to reload after a submisssion is made?

You have to set the form as the thank you URL (https://www.jotform.com/help/38-Redirecting-Users-to-a-Different-Page).

If you want to show a thank you message before redirect, you can do the workaround from this guide: https://www.jotform.com/help/89-Create-a-Custom-Thank-you-page-with-Auto-redirect. 

Try it and let us know if there are issues.