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Thanks for your post and welcome to the Nokia forum.
Is your internet connection working fine?
In order to fix this issue, I would advise you to check if your phone's software is up to date via this link, enter *#0000# on your keypad to display your current version.
If your phone needs to be updated, connect it with Nokia suite and click on the green arrow icon. Any available updates will be listed here.
If the problem persists, I would suggest you to delete facebook application : Menu > Settings > Application mgr. > Installed apps > delete facebook app.
Then download facebook application via Nokia store.
Hope this helps.