First off, your choice of MacBooster was not good. ANYTHING IObit (developer name) is basically crapware/malware. Never get sucked into "booster" anything. 95% of the time they are fishing with bait.
Here is what I would do.
Go into your Safari preferences.
Safari-->Preferences-->Search--> Disable or uncheck "Preload Top Hit in the background" and "Enable Quick Website Search" then clear all history and cookies. Leave this as your default setting on every Mac you own.
Then I would download this program and install it. ( safe program and if this helps you out, please donate something to this developer)
https://freemacsoft.net/appcleaner/ When using it, hit the "list" icon in the upper right corner.
Then reinstall MacBooster crapware again. Yes that is what I said. Then use AppCleaner to uninstall MacBooster. Hopefully it will find the pathway to that icon that is persisting. No great loss on doing this since you have nothing to lose since you are already infected.
Then I would reboot.
Run a full Avast scan and Malwarebytes scan. Then I would download the free BitDefender on-demand scanner through the Mac App Store. Make sure you update definitions before you do a full scan. This is only an on-demand scanner so it will not interfere with Avast on-access scanner.
I then would download all the programs from Patrick Wardal, A leading Mac OS X/MacOS malware researcher. Here is an "About" him on his site and then go to his free programs and run all of them that logically would pertain them to your problem. In the VirusTotal linking that is used in most off his programs, go through the lists of every file that is sent to VirusTotal and when you see a "?" mark click on it and "force send" it to VirusTotal with the submit button that comes up. Why this doesn't force send everything I just don't get???
Please read the descriptions and processes of each program that he has posted for each program to get a feel what's happening when you use them. This will help you figuring out IF you are infected or not. Great learning info.
https://objective-see.com/about.htmlIf you want to load any other Mac anti-virus software ONLY use TOP commonly known brand names that are used in the PC world. Do not use "no name's" even if they are in the Mac App Store. Only trust the the "Big Boy's" in AV, or you have a great chance in get "MacBoosted" by scam-ware like IObit.
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