Do you know if your new modem includes WiFi? Is so, when you tested the connection with the technician present, did they have you connect wirelessly to your existing wireless router or to the modem itself?
Assuming you are running some version of Windows on the computer that can connect, please go into the Windows DOS/Command prompt screen and run an IPCONFIG /ALL command. Then copy and paste the complete results of the command here.
Assuming you are running some version of Windows on the computer that can connect, please go into the Windows DOS/Command prompt screen and run an IPCONFIG /ALL command. Then copy and paste the complete results of the command here.