O.K., so I followed your instructions, starting in 'Safe Mode'. As soon as I began, I received a series of 3 instances of the same error message: "WinMgmt.exe. has generated errors and will be closed by Windows. You will need to restart the program. An error log is being created." After determining which directory this file resides in (C:\WINNT\system32\wben), I found 3 logs which had been updated today and I have attached copies of all three (results to this point). During this effort, I received another 12 notifications regarding the WinMgmt.exe program. When the computer rebooted from OTL, I wasn't fast enough to select 'Safe Mode' so it went to a normal boot. Once re-booted, I started OTL and then clicked the 'Quick Scan' button and the program took off, with a series of file names and Registry entries flashing by in the Status Bar. During this time, another 6 notifications were received regarding the WinMgmt.exe program. Unfortunately, when the OTL 'Quick Scan' was about three-quarters done, the laptop froze (as it has been doing for weeks now).
So, I shut it down and restarted in 'Safe Mode' and re-ran OTL 'Quick Scan'. One thing I noticed was that, although when I first opened OTL, the selection boxes were as shown in your screenshot above, when I clicked on 'Quick Scan', the 'Use Company-Name WhiteList, Skip Microsoft Files, LOP Check and Purity Check all became selected. OTL 'Quick Scan' finished its work (much quicker than the first time I ran it - before the laptop froze) and I have attached the OTL log that it created (it did not create an 'Extras' log file this time). During this time, I received the initial sries of 3 plus 5 more notifications regarding the WinMgmt.exe program.
I have not yet run either the Eset or Dr. Web CureIt! on-line scanners on the infected laptop and I await your comments/further instructions.