You need to find out if the two possible sires are also DNA-ed.
If they are NOT, then someone gets to send an application for a DNA test for each of them (hopefully they are both registered with AMHA.)
If they have been DNA-ed (and are registered), and since your foal's Dam is DNA-ed, then the final step would be to apply to have the foal DNA-ed when you send in the foal's registration application.
On the form that requests for a DNA Sampling Form, you need to check off the box on the right side of the page. This will make the laboratory compare the foal's parents' DNA to the foal and parent qualify your foal. I would give AMHA the information on both the possible Sires, so the Lab can run the comparison.