Mailing error | PHP is not functioning

Hi guys,
I am having a issue with the mailing on my site. I have used a plugin called: Check Email and it has confirmed my php mailing is not working.
I have also gone to other measures to test the php script. These include:
Selecting the “Forgot Password” so the site should have sent me a reset link and using the contact form which is what I mainly need this mailing function for.

There is nothing wrong with the script, I have contacted my host and they confirm they are not blocking anything.
I’m really racking my brain at this point but cannot think of anything, so I am turning to you. The community, to get some assistance.

I really appreciate any help,
Regards Blake.