Do we have an unlimited amount of forms and/or submissions?

- Do we have an unlimited amount of forms and/or submissions? - Can we pull back metrics on completed forms (for example, how many times a form was used per month, and by what email address)

Only the Gold accounts can create an unlimited amount of forms. All account have submissions limit. I would suggest you to check our Pricing page to find more about different account types and limits - https://www.jotform.com/pricing 

Also, please check this guide:

Understanding Your Account Usage and Limits

On the submission page of your forms, you can check your form submissions and download them. You can also use Time Frame filter to check the submission for a specific time frame.

How to View Form Submissions

How to Download Form Submissions as Excel/CSV/PDF

We also have Form Analytics feature:

Understanding Form Analytics and Ways on How to Get Your User's Info