Trojan-Downloader.JS.Psyme.hz

Symantec does have a free online scanner like Kaspersky called Symantec Security Check.

http://security.symantec.com/sscv6/home.asp

Whenever you delete certain files of certain viruses, they can be partially broken and may be capable of partial repair.  The label "Trojan.Downloader" means that the virus downloads components off the Internet to build an infection on the affected machine.

Kaspersky's Online Scanner is definitely not meant as a "scare" tool by any regard - Kaspersky is considered a premiere and professional AV solution right alongside known veterans such as Symantec.  Every AV is never 100% effective, and various AVs catch things which other AVs do not.  Pretty much every major AV company offers their own kind of online scanner, and every single one is - in essence - a potential sales tool as it detects legitimate infections (and offers you to clean them out if you buy their solution).

NIS 2009 is by no means a bad product.  While there are many naysayers of Norton/Symantec, this stigma was primarily attached to their older products from a few years ago due to its bloatiness (it has leaned considerably recently).  But, again, Norton does not catch everything - no AV does.

Deleting infected files is not enough with modern day viruses.  These days they hook and attach right down to the driver and OS level, which means that simply deleting infected files will not remove an infection.

If you do not wish to spend additional money on a scanner/remover, there are excellent free on-demand scanners out there which are great and removing infections, such as Malwarebytes' Anti-Malware (MBAM).  Now, I am not saying you should replace NIS 2009 - MBAM is great for dealing with those one-off infections which pre-existing AVs aren't able to get rid of.  Install and update MBAM, and then run a thorough scan in Safe Mode (make sure you do it in Safe Mode as this assists in removal due to the inherent restrictions tying the hands of infections).

http://www.malwarebytes.org/mbam.php

By the way I should inform you that Sophos is primarily designed for corporate use - it can be unwieldy, and unfortunately its rate of false-positive detections (falsely detecting viruses) is quite high.

I should note in terms of Norton that 2009 is not Symantec's latest engine - 2010 is now out.  However if you do wish to use another security suite akin to NIS, Kaspersky Internet Security 2010 is solid.

On an additional note, if you want to verify if certain files are indeed infected by other AV products, you should try running it through a comprehensive online AV scanner such as VirusTotal.  As long as the file is 10MB in size or less, VirusTotal will scan the file using virtually every single major AV program on the market (and a few non-major ones as well) in only a minute or two.  The service is free and is provided with the mutual co-operation of the participating AVs (39 of them in all by last count).  This "super" file scan does not clean infections, but it will certainly give you 38 second opinions.

http://www.virustotal.com/

To properly interpret the results, see how many AV scanners come up with positive results.  If only one or two do, chances are it "might" be a false positive.  Keyword is "might" as it could very well simply be something other AV scanners have yet to write signatures for.  If many scanners come up with positive results, chances are extremely high that the file scanned is genuinely infected.

CORRECTION:

My apologies, I forgot to include an important notation when running MBAM while compiling my response.  Run MBAM first in Normal Mode, clean what you can, and then reboot.  If there is still an active infection after this, _then_ boot into Safe Mode and repeat the process.