Submissions: Subscribers List Info.

Do I have a record somewhere in Jotform of the information that is entered in my forms from my customers to reflect back on later? I think for $20.00 or more a month I should have this.

Yes your submissions are stored on each forms submission page:

How-to-View-Form-Submissions

Note that you also have access to Jotform analytics, which provides detailed information about your customers. 

https://www.jotform.com/analytics/