OrganiZen quasi-virus still blocks 2nd monitor

On my Desktop I had the 'lock to grid' option off, but now switched it to on. Instead, it got busy with a mysterious program "organiZen". Which swept all my icons away. I found them in a folder off screen, far away. I managed to put them back, one by one. Then I deleted the program.
I thought that was the end.
But not fully, apparently. There was one crazy problem left:

I can no longer use two screens! The 'extend screens' option is crippled: I can use my laptop screen only -- or switch to the external monitor only. But cannot get both! One is always left blank!

So then tried this via the Intel HD Graphics Control Panel. Same result: it detects both monitors but you always end up with one screen blank.
Also, a Rclick on Graphics Properties shows a folder 'Organizen' on its list despite my deleting it earlier! And I cannot even delete this entry!

I have run out of ideas! Do you have any, please?

Remarkable: I tried for a day or so to fix this problem. Then right after posting my message here, I fiddled around again. And somehow, the second monitor came back!
And I don't even know why!
However, that stray menu item of OrganiZen is still lurking. It seems to be 'only' an ad to properly install it. But it makes me uneasy. So it would be good to delete it!

Simrick: Thank you for your response. Well I'm a member of CSI (Skeptics organization) so I must reject your cunning theory about cause and effect! But I went ahead with your ADWCleaner program. Unfortunately, it downloaded ok, though I was surprised it was only 3.9Mb. But then I could not get it to execute! Maybe I need ADWCleanerFixerUpper.exe....

To Simrick: Thank you again. I followed your instruction about malwarebytes. I had run this yesterday before writing to this site. It had found about 600 hits. Which were all the product of the OrganiZen intrusion. I deleted them.
Now I ran malwarebytes again. With a tiny update of the program. And with your advice to include the rootkits check.
Well, the result was zero hits. Good news, bad news. But not very bad. I will live with it ok. And Nothing Can Go Wrong...

Simrick: Thank you again. I followed your suggestions.
-The JRT program ran for over an hour, but found just one clearly unrelated naughty file.
The ESET program then took 2h30m and did not find any integrity violations.

So I guess that's all that can be done. The lingering result is just cosmetic -- so far.

Thank you yet again.
-koalady