First of all if I am right, you are trying to use the SME in server/gateway mode and you just have a single physical ethernet. If so, it will be impossible to test the SME in server/gateway mode. I suggest you use the server mode unless you have two physical ethernet ports on your system.
I have the following connections in my network connection under control panel..
1. Local Area connection
TCP/IP settings are static
So I have set the parameter i.e IP, subnet,gateway,Primary DNS
2. VMware Network Adapter VMnet1
I think this is the connection used for the bridged mode.
3. VMware Network Adapter VMnet8
Not sure what this is for> Maybe NAT or Host-Only
The TCP/IP settings for connections 2 and 3 are automatically setup by Vmware when you install it on to your system. So if you try to edit the TCP/Ip most probably you are going to mess it up...
Now leaving that aside....
Use bridge mode, using the admin panel of SME and set an IP address, i.e same like the one you would set for connection1
exit admin... login as root... try pinging your gateway or router....
if you are able to ping, success!! Try pinging some site also... probably
google.com
ping -c 3 "your gateway ip"
ping -c 3 google.com
else we need to think of something else...
Regards
Ronald