HELP NEEDED - Multiple SSL sites each on its own IP not working in IIS 6.0

Please help!

I have a Windows 2003 SP2 server which has 3 IP addresses (on a single
NIC). I have created 3 IIS Web Sites, each listening on ports 80 and
443 on each of the IP addresses respectively. So my IIS Manager
console looks like this:

Description Identifier IP Address Port
SSL Port
site1 123456 10.0.0.1
80 443
site2 123457 10.0.0.2
80 443
site3 123458 10.0.0.3
80 443

Each site has its own self-signed certificate, installed via SelfSSL
utility from the IIS resource kit.

All 3 sites seem to start successfully and browsing to port 80 (http)
on any of them produces proper results (even without host headers,
since each site has a dedicated IP address). It seems however, that
which ever one start last, is the only one to which I can browse to
port 443 (https) and the other two would simply reject my request.
When I use Firefox, I see that all 3 sites present their respective
certificates, but only the last one I started does not terminate the
connection unexpectedly.

Furthermore, it seems that the first site I configured, site1, can
never work over SSL even with the other sites shut down.

I have tried this on two different servers with the same exact
results. I am at my wit's end with this and would greatly appreciate
any help!

Best regards,
Vakhtang