Guild Wars 2

I am trying to get the title ‘Mist Runner’
Therefore I have to complete the wvw tournament 2014.
But when does this end? I have not played GW2 in a while so i’m new to these tournaments.

It ends on May 30.

https://www.guildwars2.com/en/news/get-ready-for-wvw-spring-tournament-2014/

many thanks.
I have another question.
Due to my world transfer a while back I can not go to any of the battlegrounds except for the mist.

When will I be able to join the battlegrounds?

The lock-out is for the current match-up and the match-up the week after.
So if you transferred last week, you should be able to join regular at the start of the new match-up tomorrow.

While you wait be sure to do Edge of the Mists, since you still work towards the achievements like that and acquire WvW experience