A way to check Norton is running correct?

Hi hoping to get some clarification from the community.

 

I recently ran a full system scan on my computer and it came back with 57 tracking cookies and 3 files called trojan.maljava.

Norton assured me the files were removed but i ran norton power remover just to make sure. It came back with 2 programmes but these are programmes from reliable sources.

 

Any way after rebooting my computer i ran another full system scan but this time instead of taking around 45 mins to scan 1.5mil files, it only takes around 10mins to scan just over 275k files. Is there a way to check Norton is running correctly? It just seems really odd that its not performing a proper full system scan after detecting the 3 trojans and i fear my computer is perhaps compromised? Any help you can give me would be greatly appreciated, thank you in advance.