Angels have the Phone Box
Again? UGH! How I hate these scumbags!
You can see the developer's documentation here for an explanation of what the tool does.
ToolsLib - [EN] - AdwCleaner documentation - Forum
Tracing has to do with the network.
It's called Session Hijacking and you can read about it here:
Session hijacking attack - OWASP
What I would do is make sure you are logged out of all other sessions. For instance, in Facebook (somewhere - I don't use it much), there is a place to see what all browsers you are signed in on. You can can select to delete all sessions. If anyone has stolen a session cookie from you, that will disconnect them.
Not sure how Chrome works, as I don't use it much.
Honestly, these things can get in from infected webs sites, infected ads, exploits of Flash or Java, unpatched browsers, etc. I use Firefox for my main browser, as it is the most customizable and therefore safest browser. I have browser add-ons (like Flash and Java) set to "ask to activate", I have another add-on which shall remain unnamed (per forum rules), I use WOT to evaluate web-searched sites for safety, I use OpenDNS DNS servers on my NIC to prevent navigating to known bad sites, I use LastPass Password Manager and only log into it when needed, I do not login to the browser to "sync" anything, and I have MBAE for zero-day browser exploit mitigation. All this, plus anti-virus, anti-malware, anti-spyware and CryptoPrevent. Knock wood, I have never had one of these on my system yet, and I do a lot of searching in order to answer threads on this forum.