You are most probably hitting this bug https://bst.cloudapps.cisco.com/bugsearch/bug/CSCvb44543/?rfs=iqvred.I have had two routers do the same and asked Cisco to replace the units.
Dear LMAZlooks like there is no routing configured between the two sites. You can configure EIGRP between the two sites and you will be able to ping the two sites. Regards,
If you are using windows OS on the computers can you share the output of ipconfig /all on the copmuters, just to make sure your computers are in the same network.By any chance are you able to connect to the cisco switch using console cable?
What IP addresses are you getting on the computers. Also try to ping each computers IP address from the another computer on the same switch and see if they are reachable using IP addresses.
On a new 2960G switch you can use any port to connect to another switch on your network. Ensure that the interface VLAN 1 on the 2960G is up for you to be able to manage or ping the new switch.