Cannot connect to my Sony laptop with Windows vista

Hmm..the best way I can think of here is to get both Techs on the same line so that they can discuss what the problem really is. I've tried this before and I have to admit. Things worked out very well, It seems a device built in my laptop was not running properly, so I had to install it again, it's called the NIC or Network Interface Card and it's the device that allows your laptop to communicate with the modem.
Regarding the lights in your modem. The DSL light should always be Steady Green, that means that your modem is in Sync with the network. If it's blinking, check all connections, make sure every physical connection is connected properly, if the dsl light is still blinking, that's a network problem already and you should call Verizon so that they can send a tech to fix it.

Sometimes it's difficult to isolate the problem for an internet connection, but to make it clearer for you and anyone else with the same issue. The modem is the central part of the connection. It's a verizon problem if the problem is the connection of the modem to the central office, and you can check it with the DSL light and Internet light.

It can either be a Verizon Problem or a Modem to PC problem, if the problem is between the modem to the pc. Possible Scenarios here are: The modem is defective, the NIC is defective, the Ethernet Cable is defective.
The first is a verizon problem only if the modem is still covered by warranty, if the modem is qualified for a DSP or a Device Service Plan, then that's good, you don't need to buy a new modem anymore. The second and third issue is a physical problem with the devices already and you'll need to have your pc fixed.

Try and isolate the issue, and if you can, let me know and I'll let you know what you can do to fix your problem.