Two Small Business Servers using same router?

If I assign a static IP to a new server and Give it a new Domain, would this interfere with existing Server?
In other words, two completely different domains / networks you would have to log out of one to login to the other each time.
Both would be plugged in to the same switch and Internet Router and the Subnet would stay the same.
Also once logged in to say Domain B Network, would Domain A Network servers still show as a regular computer?
Example: Domain A= Office, Domain B= Warehouse

 

There can be many domains on a network. Network don't have any knowledge or care about the domains. See no problem here.

 

So Server A with Domain A can be it's own domain controller and Server B with Domain B can be it's own domain controller as well?? Each would have a different dedicated IP but the same Gateway.
This won't cause any conflicts?

 

Yes.

No. Many networks can share the same gateway, provided they can reach it.

 

Ok, yesterday the whole network stopped and I turned off Server B and Server B has not been promoted yet.
It could have just been because somebody was working in Server room and accidentally unplugged a cable.
I plugged it back in and was working but maybe he unplugged it again as he is confused to which switch is for the neighbor company and which switch is for our company.
I have had it running all night and morning and its working fine now.
I will go ahead and promote Server B tonight and test it out.
Thanks

 

Promote ?