I think there's a lot of confusion here between people who have genuinely been given the access to the playtest and people who are still waiting to be given access but have received the "download/play now" email.
I am also one of the people who got the email last night to say the game was now available for me and it is still not available VIA the EA app, it unfortunately is not as simple as restarting the app it is simply a waiting game until skate roll it out to people who have been given access but that doesn't seem to be being voiced. Hopefully this is addressed soon and you get access mate :)