Could I play the lw story on 14 nov ?
next patch will be 2 weeks from yesterday so you should be fine to log in and get the update for free
Next update should be on the 18th of November, going by the 2-week schedule. So yah, you should still be able to unlock the current LS if you log in on the 14th or 15th.
The living story is here to stay. The only thing you have to do is log into your game and unlock it, sooner than later. If you cant do it yourself get someone you trust to do it for you, and change your password after of course, to be safe.