1) I have set the Site and Secret Key for the reCAPTCHA and added back it to the form. How do I edit where the reCAPTCHA appears? It currently appears above the call to action button: https://www.screencast.com/t/5q2XDIQB

You can change its position by dragging and dropping it wherever you want as shown in the attached screenshots.

2) When I add the reCAPTCHA  field it appears at first in the form field settings. When I go back to that section to edit it, it’s not there but still shows up on the front-end of the site.
Video: https://www.screencast.com/t/XhZXafblMLzx

It’s known issue of Unyson plugin so you have to delete and recaptcha field every time when you save form.