Corrine, I have completed all of you last instructions with the exception of the removal of F-Secure, as it was not listed in the programs. Both ESET and Panda were listed and removed for the computer.
MBAM quick scan was done after updating. There was no box as you show on your post came up at the end...just the printed report, which is copied below
I also posted a copy of the Old Timer scan for your perusal.
My computer seems to be running okay.....at least I have not seen any strange happenings these last few days.
(Flingers clossed!)

Malwarebytes Anti-Malware 1.60.0.1800
www.malwarebytes.orgDatabase version: v2012.01.15.03
Windows 7 Service Pack 1 x64 NTFS
Internet Explorer 9.0.8112.16421
Owner :: OWNER-PC [administrator]
1/15/2012 3:03:43 PM
mbam-log-2012-01-15 (15-03-43).txt
Scan type: Quick scan
Scan options enabled: Memory | Startup | Registry | File System | Heuristics/Extra | Heuristics/Shuriken | PUP | PUM
Scan options disabled: P2P
Objects scanned: 190376
Time elapsed: 3 minute(s), 25 second(s)
Memory Processes Detected: 0
(No malicious items detected)
Memory Modules Detected: 0
(No malicious items detected)
Registry Keys Detected: 0
(No malicious items detected)
Registry Values Detected: 0
(No malicious items detected)
Registry Data Items Detected: 0
(No malicious items detected)
Folders Detected: 0
(No malicious items detected)
Files Detected: 0
(No malicious items detected)
(end)
Getting user folders.
Stopping running processes.
Emptying Temp folders.
User: All Users
User: Default
->Temp folder emptied: 0 bytes
->Temporary Internet Files folder emptied: 67 bytes
User: Default User
->Temp folder emptied: 0 bytes
->Temporary Internet Files folder emptied: 0 bytes
User: Owner
->Temp folder emptied: 183365666 bytes
->Temporary Internet Files folder emptied: 25832063 bytes
->Java cache emptied: 2346398 bytes
->FireFox cache emptied: 179635385 bytes
->Google Chrome cache emptied: 6570469 bytes
->Apple Safari cache emptied: 0 bytes
->Flash cache emptied: 1403 bytes
User: Public
->Temp folder emptied: 0 bytes
%systemdrive% .tmp files removed: 0 bytes
%systemroot% .tmp files removed: 0 bytes
%systemroot%\System32 .tmp files removed: 0 bytes
%systemroot%\System32 (64bit) .tmp files removed: 0 bytes
%systemroot%\System32\drivers .tmp files removed: 0 bytes
Windows Temp folder emptied: 13043737 bytes
%systemroot%\sysnative\config\systemprofile\AppData\Local\Microsoft\Windows\Temporary Internet Files folder emptied: 66717 bytes
Emptying RecycleBin. Do not interrupt.
RecycleBin emptied: 4854855 bytes
Process complete!
Total Files Cleaned = 396.00 mb