Securing default website in ISS 6

[dmilleruk1]

We have a 2003 Premium Server and a ISP assigned static IP of 82.69.x.x

My firewall router is setup to forward TCP port 443 to my
server's IP (192.168.0.250)

I have set up a self signed SSL certificate, issued to
82.69.x.x by 82.69.x.x and added this certificate to the
Default web site in IIS

With the following configuration set-up, i can now use
Remote Web Workplace from anywhere with an internet
connection by navigating to

https://82.69.x.x/remote

I can navigate to the site and login using my domain
credentials which then enables me to check my outlook
web access and connect either to the server or any of the
workstations on the domain.

The only problem is when i navigate to the website
remotely using "

https://82.69.x.x/remote",

IE7 says there
is a problem with the certificate not being valid and it asks
if i want to continue to the site. I can continue to the site
and log-on to remote web workplace. Even though i am
using the address

https://82.69.x.x/remote,

the site is
not secure because no padlock is displayed in the corner
of the window.

I need to know can get a valid SSL certificate for my ISP
assigned static IP address of 82.69.x.x

Or Can i get my internet domain name "fc4.net" assigned
to the default website? So that i can get "https://
82.69.x.x/remote" to resolve to "

https://fc4.net/remote"

instead? If so how do i this.

If not how do i go about accessing the server's default
website remotely using an Valid SSL certificate and using
the

https://82.69.x.x/remote

address?

Thanks