How to get the submit button to work on the PDF

How can i get the submit button to work when i convert it to a PDF?

If I am getting you correctly you want tour PDF document to have submit button right? To do so you will need to create fill-able PDF document and include the submit button when configuring the document. See link on how to create fill-able PDF : https://www.jotform.com/help/212-How-to-Create-a-PDF-Form

Is there any way for conditions that are on the form to work once it's converted into a PDF?

Unfortunately logic conditions will not worm with fill-able PDf as they require functions that my not be interpreted by PDF. Below is a link with detailed information on using fill-able PDF.

https://www.jotform.com/help/312-JotForm-Fillable-PDF-Creator-with-All-Points#Do-Conditions-Work-in-Fillable-PDFs