I concur with the phishing notice. Forward the e-mail to abuse [at] verizon.net, press the spam button on this e-mail, and then delete it.
Some rules of thumb to identify phishing for anyone else who comes across this.
A company like Verizon will never need to ask for your Verizon e-mail password, or username. If they have your e-mail address, they are more than capable of referencing your address to an actual account. Passwords, they can reset on their end, and direct account access can be obtained under circumstances where it is required (law enforcement, it's in the ToS!).
The same goes for name. If Verizon already has your e-mail address which they supply to you, they have your name in their computer systems.
Finally, another way to identify phishing is to pay attention to grammar and spelling. Most of these phishing attempts typically have something off in the message. Spelling is usually not the issue, but the wording of the e-mail makes the sentences seem broken sounding. I stumbled reading the e-mail you've posted a few times after the part asking for the account information due to the grammar.
Lastly, pay close attention to e-mail headers. Many e-mail services manage headers in a slightly different way, but e-mail is a standardized system. Most quality e-mail systems will automatically spam, reject or delete messages that do not pass validation checks, like SPF or anti-spam database checks, but some, still to this day do not. Manually read the headers when in doubt, and see what the origin host of the e-mail originated from, is. Most big companies run their own mail farms, and a quick check of IP addresses, hostnames, and WHOIS records can typically help to identify what's fake and what's real. There is a learning curve to this, though.
Oh, and when it doubt, ask the community OR the company itself. Get company contact information from your bill, or from the offiical website that you visit manually (don't trust links!).
