2. It created a file in "/var/named" called pri.mydomain.com (Not sure where it got the "pri" from??)
- Below I Changed the IP to ones that aren't mine.
Thats ok, so need to remove it. You just have to add the ns1 and ns2 as A records as well as in your case the nameserver domain is part of the same zone. See topic glue records which has been discussed and explained. several times here already.
Just follow the guide that fits your centos version. Your setup was right as I explained above, you just missed to add two records in your zone.