If you could show that you were charged more than you were quoted you'd certainly have the right to a refund of the excess but I doubt that you could get a full refund.
Norton offers a complete security
suite (rather than just an anti-virus program) but there's nothing there which you can't get for free elsewhere. (The free stuff is usually just as good, as it offers a single component of a full commercial suite; so it's exactly the same as that component would be if you were paying for the whole lot).
A security suite usually comprises three main components. They are
(a) a firewall ;
(b) an anti-virus program ; and
(c) an anti-malware program.
[There might be additional components offered but you probably don't need them anyway].
Windows comes with its own firewall, which most users are perfectly happy with. However some people prefer to use a third-party firewall, which offers better 'two-way' protection. Zone Alarm is the most well-known, has been around longest and gets consistently good reviews in the technical press:
http://www.zonealarm.com/security/en-us/free-upgrade-security-suite-zonealarm-firewall.htm
Comodo is also popular:
https://personalfirewall.comodo.com/
Among the free anti-virus products available, Microsoft Security Essentials used to be well-regarded but it started failing independent tests and Microsoft have admitted that it's not as good as they'd like it to be. The most popular (free) alternatives are AVG
http://www.avg.com/gb-en/free-antivirus-download
and Avast
https://www.avast.com/en-gb/index
(I used AVG for years but then found that more recent versions slowed my computers, so I've switched to Avast).
However no anti-virus programs (or even full, commercial security suites, such as Norton) seem capable of dealing with all of the malware attacks that are out there. That's where Malwarebytes Anti-Malware comes into its own. The paid-for (Premium) version 'runs in the background', so that it's constantly looking for potential problems, where the free version is 'run on demand' (so that you need to actively run a scan with it periodically):
https://www.malwarebytes.org/antimalware/
(If you go for the free version, take care to remove the tick against the offer to take a free trial of the Premium version).
I use the Windows firewall, together with the free versions of Avast and Malwarebytes Anti-Malware, and I'm happy enough with that combination. I've never seen the need to use a commercial security suite but, if I did, it certainly wouldn't be either Norton or McAfee; Kaspersky consistently gets far better reviews:
http://www.kaspersky.co.uk/