192.168.1.2 doesn't have to be in your resolv.conf if you've set up your network to use other dns hosts and not your router/dialer/gateway. For example my resolv.conf is set to point to the opendns hosts,
because I found my ISP (verizon) was doing odd things to my dns results for web searches. You can configure either networkmanager or network to plug in your own DNS addresses and ignore the ones the ISP tries to feed you.
The "search f3" just means that if you do a dns lookup by short name on your computer:
it would look for the host in the dns by long name: hostofinterest.f3
Basically it would append "f3" as the domain. Do you want that? If you get rid of "search f3" from the resolv.conf, Fedora defaults to
using the local domain, it might be "localdomain" or something like that. Just don't make your local domain name literally be "local",
I did that once and it's bad (local is a reserved name that has a special meaning)
UPDATE: ok, I just saw your last sentence, I think you do want "f3" as the domain in your local private network, that is, "host mediaserver" would get the IP on your network of "mediaserver.f3"