Does the free plan support conditional logic?

I'm not sure if I need a paid plan yet (I will scale to a paid plan if I can integrate jotforms the way I'm thinking).

Is the free plan fully functional? More specifically, can I use conditional logic when building a form with the free version?

You can use basically all features, and widgets in a free plan. You can definitely use conditional logic.

The only limits are:

Monthly submissions

Monthly payments

Available Space

Form creations

Sub-user account

Monthly Form Views

Total Submissions Storage

You can find more details in the pricing page: https://www.jotform.com/pricing 

Let us know if you need more help, we will be glad to assist you.