Answer the following to help me understand whats going on.
Did you get a new Router?
Or just a new computer?
Is the new computer getting internet?
Can you access the 192.168.1.1 website on the old computer?
Have you tried powering both modem/router off and powering on the modem waiting 30 seconds and then powering on the router?
with the old computer goto
Start > Run >type CMD (click ok) > type IPCONFIG (hit enter)
What does it show?