my mac does not accept to connect to facebook even when its connected to internet
Go step by step and test.
1. Quit Safari, launch Safari holding the Shift key down.
https://support.apple.com/en-us/HT203987
2. Startup in Safe Mode. https://support.apple.com/guide/mac-help/start-up-your-mac-in-safe-mode-mh21245/mac.
Quote:
It also does a basic check of your startup disk, similar to using First Aid in Disk Utility.
And it deletes some system caches, including font caches and
the kernel cache, which are automatically created again as needed
3. Clear History
https://support.apple.com/guide/safari/clear-your-browsing-history-sfri47acf5d6/mac
Please read the article before clearing history,
this is like a low level resetting of Safari without affecting passwords and bookmarks.
4. If Safari doesn't open a webpage or isn’t working as expected