Norton is a virus scanner. A poor one. Kaspersky is similarly poor and only a virus scanner. Avast, AVG, McAfee, ESET, Panda, BitDefender, all weak, bloated, expensive and ineffectual. None of them is much use at all with real malware. Even worse, your symptoms may be caused by something you 'legitimately' installed, bypassing the usefulness of your scanners completely. Toolbars, 'helpers', search 'enhancers', weather/coupon/deal trackers, theres a whole mess of them. Any one of which could be the cause of your problem.
Malware, spyware, adware, viruses, these are all different things and they require difference programs to identify and remove them. Saying you have 'Kaspersky and that should handle it' is like saying 'I have a headache so I'll go see my podiatrist about it.' Just because you have a hammer does not mean every problem is a nail.
Even if you have a program that can handle such infections they are often not all encompassing. The reason we use 3 scanners JUST for malware/adware is because these three put together catch MOST of the infections. They all have strengths and weaknesses, infections they are effective against and infections they miss completely. We have 4 others we use for viruses/trojans/worms. God forbid you get something like Cryptowall. I don't think theirs a single program on the market that can help you after the fact. Just wipe your machine's hard drive and hope it didn't infect your backups (off site backups for the win).