First of all try out port scan to see if database is actually acessible. If I'd run server I'd put database on localhost, acessible via pipes, not network + put names server and router in demilitarized zone, not actual server, but who knows - there is not so many ppl knowing at least something about server security.
Port scan would also reveal you some possible vulnerabilities of the target machine - like other services running etc. And from open ports you can also guess what operating system is running there.
I would also advice to run port scan from internet cafe, not your home