Hey Dmitry. Thanks for replying! 
I'm gonna list where each key is placed at:
1. This I can find where I assume it should be and the value is correct. Though I can find it in many other folders.
2. I can find this at:
HKEY_LOCAL_MACHINE\SOFTWARE\Classes\CLSID\{035B18F9-A217-44d5-91C9-B682C33C1078}
and
HKEY_LOCAL_MACHINE\SOFTWARE\Classes\Wow6432Node\CLSID\{E7593602-124B-47C9-9F73-A69308EDC973}
3. Should be okay but again I can find it in HKEY_LOCAL_ROOT for example.
4. Is there but same as the others before. It's in other folders as well.
5. Can find it but is at:
HKEY_LOCAL_MACHINE\SOFTWARE\Wow6432Node\Microsoft\Windows\CurrentVersion\Shell Extensions\Approved
Sorry I forgot to mention my Windows 7 is 64-bit Home Premium.
Hmm... Try to check the following keys in Windows registry:
[HKEY_LOCAL_MACHINE\SOFTWARE\Classes\*\shellex\ContextMenuHandlers\DrWMenuHandlers]
@="{e7593602-124b-47c9-9f73-a69308edc973}"
[HKEY_LOCAL_MACHINE\SOFTWARE\Classes\CLSID\{e7593602-124b-47c9-9f73-a69308edc973}]
@="Shell Extension for DrWeb"
[HKEY_LOCAL_MACHINE\SOFTWARE\Classes\CLSID\{e7593602-124b-47c9-9f73-a69308edc973}\InProcServer32]
@="C:\\Program Files\\DrWeb\\drwsxtn.dll"
"ThreadingModel"="Apartment"
[HKEY_LOCAL_MACHINE\SOFTWARE\Classes\Folder\shellex\ContextMenuHandlers\DrWMenuHandlers]
@="{e7593602-124b-47c9-9f73-a69308edc973}"
[HKEY_LOCAL_MACHINE\SOFTWARE\Microsoft\Windows\CurrentVersion\Shell Extensions\Approved]
"{e7593602-124b-47c9-9f73-a69308edc973}"="Shell Extension for DrWeb"