Allright, so the thing with Outlook is ; They want to keep out as much rubish as possible. Understandable, but sometimes that makes it difficult and annoying to properly setup your mailserver. Their firewall is very strict, and you don’t get ‘points’ easily. So you are being signed as spam or blocked fast. First of all, have you checked the spam? And if so (and the mail is inside), what does the source of your mail says?
Second thing you need to look at, if you would like to run a working 'professional’ mail server are authentication methods. Mailproviders like gmail, outlook, yahoo and more look at all these properties, and then determine if your allowed to get inside their system. You need to think about:

• DKIM (DMARC to check your mail backlogs)
• SPF
• PTR
• Blacklists (you checked already)
• Open relay
• IPV6
• MX

Once you researched about these properties, you will know how to setup a mailserver and / or ask any more questions.