I don't really see anything in the log indicating infection. The only thing I see are a LOT of unnecessary processes running and yes, some unnecessary start ups. There really is no reason for a program such as Speed Startup. While there is nothing wrong with this program, the best ways I have found, and they are FREE, to control unnecessary start up items is control them with something like CodeStuff Starter or Mike Lin's StartUp Control Panel. Both FREE.
There is nothing wrong with the file avp.exe. That is a key file with Kaspersky's.
If something OTHER than an anti-virus or anti-malware program flags something as dangerous then, personally, I don't believe it.
Frankly, I hope you didn't purchase the program.
Like I said, there is nothing wrong with it that I have found but the other two programs do the same and for FREE.
Some things I do see in your log which would certainly slow your start ups and are not necessary to have running all the time are the following:
SpeedStartup
SUPERAntiSpyware
TuneUp Drive Defrag Service
Malwarebytes' Anti-Malware
Unless you have the paid versions of all of the above then the background scanning is not functional and does nothing but use valuable resources.
I also never recommend more than one anti-malware program RUNNING on a computer at any given time and frankly, I don't have ANY running in the background on my computer and have no malware ever show up on my computer. I give the credit to another FREE program SpywareBlaster from Javacool. It protects the computer from spyware, adware, browser hijackers, and dialers. Also blocks tracking cookies, and has a super restricted sites portion of the program which works with both Internet Explorer and Firefox.
I use MBA-M for scanning ONLY and also Spybot Search & Destroy.
My anti-virus program and firewall and that is it.