The read-only link doesn’t allow us to see your published working form and test it. It also doesn’t show your site’s settings. But here are a few things to check;
For the main form;
Are you getting submitted forms results in your submit history, or not?
Is the email address that notifications get sent to correct?
Is your recaptcha setting on or off?
For the newsletter form;
I’m guessing that’s Mailchimp you’re trying to send to?
You’ll need to double-check your form construction to make sure it has the hidden fields Mailchimp needs to accept that submission. There are guides here on that, do some searching and re-check your form design to make sure it’s right.