AFAIK you tell the DNS server to either be, or not be, authoritative for each zone in the configuration. There is, of course, a distinction between whether the DNS server thinks it's authoritative and whether ICANN lists it as the authoritative server for a given domain. This means I can take my DNS server and configure it as the authoritative DNS server for the domain foo.bar, but the rest of The Internet will not belive this until I buy that domain and register my DNS server. What you got from ARIN is basically a laundry list of the settings that can't be misconfigured on a DNS server that is listed as authoritative.
If you have a domain with a DNS service, then they should be the authoritative DNS for your domain, and you just tell them what IP to point the name to. If you bought a domain under the condition that you would provide your own DNS then you need to have an authoritative DNS server set up. Setting type master on a zone in BIND makes it authoritative (I belive that's what makes it send the aa flag) and the rest of it is pointing to a valid host and setting any required extra info, such as SOA in the zonefile.
FYI PTR records are for reverse DNS, for (forward) DNS you need A records and possibly CNAMEs
Code:
@ SOA @ hostmaster.foo.bar. { 1234 8h 2h 4w 1d }
NS ns.foo.bar.
A 192.168.0.2
TXT "bogus domain"
www CNAME foo.bar.
ns CNAME foo.bar.
mail A 192.168.0.3