This may be a simple case that you forgot to power cycle (unplug for 30 seconds) the modem when switching devices. Otherwise, ...
Reset the router to factory default settings.
Unplug modem and router and shut down computer(s).
Connect modem to router's WAN (Internet, Modem) port.
Connect computer(s) to router LAN port(s).
Plug in modem.
Plug in router.
Boot computer(s).
This should get you internet access on the connected computer(s). If not, please show for a Windows PC ...
Start, Run, CMD, OK to open a command prompt:
(For Vista or 7 type CMD in the Search box after Start)
Type the following command:
IPCONFIG /ALL
[Note that there is no space between the slash and ALL.]
Right click in the command window and choose Select All, then hit Enter.
Paste the results in a message here.
If necessary use a text file and removable media to copy the results to a computer with internet access.