@OtherACTION There are two methods to launch BF4, the original browser based Battlelog method from 2013, and the later BF4 in game UI where you launch the game and then use the in game server browser to find matches.
If right clicking the Bf4 icon in Origin and selecting "play" does not launch BF4 then run a repair on BF4 by right clicking the game in Origin selecting "repair". Afterwards I recommend to clear your Origin client's cache as described here;
https://help.ea.com/en/help/faq/clear-cache-to-fix-problems-with-your-games/ and then try starting the game again.