"An Installer Wants to Run" when I press remove

Thanks, Dave. 
I'm afraid I've got a problem with the Secunia Software Inspector.  It says a software requirement is SunJava JRE 6.21 and won't run without it, but after downloading that from Java.com and trying to install it, a box came up with "Error 1721.  There is a problem with this Windows Installer package.  A program required for this install to complete could not be run."  I gave it a break and tried again with the same result. 
After that, the computer froze for a while and when I tried to close down and disconnect, it wouldn't.  I tried to turn off from Start and after several tries the 'Do you want to turn off... you will lose everything not saved' message came up.  When I pressed yes, the logging off screen came up about 1/8" normal size - but at least it shut down. 

[Malware Removal Specialist]

but at least it shut down.

I'm assuming it started correctly and is running well?

I'm afraid I've got a problem with the Secunia Software Inspector.

Don't worry about this. It must be conflicting with some other program. I would say that we have all the essential programs on your computer up-to-date. BTW, Java updated to 21 today so you probably already have that updated.

Thanks for all your help SuperDave, it's great to know I'm safe now.

You guys deserve top marks for helping us nerds out!!