I cannot access internet. Router and adapter are working. I am connected and signal strength is excellent. When I try to connect, I am told there is no dial tone and it just keeps redialing. I was told by NETGEAR person that the problem is the browser on my laptop. It should not keep asking for my username and password. HELP!

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It sounds like you may have set up your network incorrectly, after previously using a dial up modem to connect online. Is that the case?'
If so, you will no longer connect using the dial up modem, but need to set up a new network connection for your new router (hardware).
At any rate, please review these HP support articles that may help you to troubleshoot the network setup and/or connection. See here, here, and here. You may find other articles that pertain to your notebook here.
You don't mention the specific router model you're using, nor which OS you're running, but I'll guess you still have xp, and suggest you also see the ms suppport articles to guide you through network setup and troubleshooting here. Another excellent resource to help you with network troubles is this website. You'lll have to look around there for what pertains to your particular setup....
Good luck.

I hope this information allows you to resolve this issue. If you need further assistance, please post back with a comment to this thread.
If I've managed to answer your question or solve a problem, please take just a moment to rate this post....thanks!