Notifications asking to resubscribe, Notification center doesn't list site.

Problems such as yours are sometimes caused by files that should belong to you but are locked or have wrong permissions. This procedure will check for such files. It makes no changes and therefore is not, in itself, a solution.

First, empty the Trash, if possible.

Triple-click anywhere in the line below on this page to select it, then copy the selected text to the Clipboard by pressing the key combination command-C:

find ~ $TMPDIR.. \( -flags +sappnd,schg,uappnd,uchg -o ! -user $UID -o ! -perm -600 \) 2>&- | wc -l | pbcopy

Launch the built-in Terminal application in any of the following ways:

☞ Enter the first few letters of its name into a Spotlight search. Select it in the results (it should be at the top.)

☞ In the Finder, select Go ▹ Utilities from the menu bar, or press the key combination shift-command-U. The application is in the folder that opens.

☞ Open LaunchPad. Click Utilities, then Terminal in the icon grid.

Paste into the Terminal window by pressing command-V. The command may take a noticeable amount of time to run. Wait for a new line ending in a dollar sign ($) to appear.

The output of the command will be a number. It's automatically copied to the Clipboard. Please paste it into a reply.

Back up all data.

From the Safari menu bar, select

Safari ▹ Reset Safari...

In the dialog that opens, check the box marked

Reset all website notification warnings

and uncheck all other boxes. Then click the Reset button. Test.

Safari's notification pannel through Preferences still does not show.

Have you checked the box marked Allow websites to ask...?

Where would i find this option?

It should be at the bottom of the Notifications tab in the Safari preferences dialog, but I see from your last screenshot that it's missing.

Please check the version number of Safari. If your system is fully updated, it should be 7.0.3. Otherwise you're probably running an outdated copy of the application. Delete it and use the one in the Applications folder.

The version of Safari in my application folder is the 7.0.3

Then, as I wrote above, you're running an outdated copy. Delete it.

You wrote this:

I dont have the same option on my version of Safari.

"Version 7.0.2 (9537.74.9)"

You also wrote this:

The version of Safari in my application folder is the 7.0.3

So you are running the wrong version.

Options ▹ Show in Finder

from the popup menu. A folder should open with the app selected. Quit it and drag it to the Trash. Drag the icon in the Applications folder into the Dock.

Run Software Update and install the current version.