Nobody replied, but the Adware.Elex and Adware.Ghokswa are still coming back every 2-3 days. And now it's even less than 2-3 days. It looks like other people have similar problems with this AdWare.
So I've used so far: Malwarebyte, AdwCleaner, Rkill, Kaspersky TSSKiller.
Malwarebytes detects threats every time they appear again, AdwCleaner also detected some threats and planned processes, RKill didn't find anything. Attached a last report by AdwCleaner and Rkill.
AdWare is here even right now.
Still looking forward to hearing from some expert
AdwCleaner[C0].txt
Rkill.txt