Re: no play button...
@areless Do you own the game through Steam, or have you at some point used the free Steam trial? Does your computer run Windows or macOS? For Windows, try clearing Origin's cache and restarting your computer.
https://help.ea.com/en-us/help/faq/clear-cache-to-fix-problems-with-your-games/
If that alone doesn't help, see whether you have the option to repair; it would be in the menu that pops up when you click the gear icon (next to the Details button) in your screenshot.
