I am having two problems with a Windows Server (running 2003 standard
edition) on a business network.  I -know- that the answer is out there
somewhere for these questions, it is just a matter of researching to
find the answer (something which I have had no time for lately.)

I really need problem one solved - but if you can solve problem two at
the same time I would be most appreciative (tip.)

Problem one:
I have a Windows Server running 2003 Standard Edition.  It has two
network cards (both gigabit.)  It also has a modem with five phone
lines for dial-in connections (not of material for this problem.) 
Network card A (WAN) is connected to the internet with a dynamic IP
address (actually static, but issued via DHCP) from our ISP.  Network
card B (LAN) is connected to our local area network which has its own
DHCP server issuing private ip addresses to the rest of the computers
on the network.  Network card B does not have an IP address, as it
'Internet Protocol (TCP/IP)' is unchecked or disabled in its
properties.  The computers on our office network connect the server
using its UNC path '\\mainframe\share_example$' They are able to
connect, retrieve and upload small files to and from the server - but
- when it comes to larger files (usually over ~70 MB the upload fails
(after about 10 minutes of sitting).  (((We would give Network card B
a static ip address (which would correct problem one), however, when
we do sites served via IIS on the server are no longer accessable from
the web via network card A. - Solve that and this would solve problem
one (using a different approach.)

(ask any questions nescessary)

Problem B:
(same server as above)
Network card A is shared so that persons dialing into the server
through a phone line can access the internet.  IIS is running on the
server - and the site(s) are configured to use all ip addresses. 
Persons dialing in to the server can not access the sites served by
IIS but can access the internet successfully.  We would like them to
be able to access the sites served by IIS.  (This is the bonus
question.)

Thank you,
Ryan

Did you try connecting the server using the IP? Is there a teaming
with your 2 network card?

Try to put a dynamic alias name (like no-ip.com) and put it in your
IIS server header then try again (intra & inter).