[PC] Missing Plants Vs Zombies The Game of The Year Edition

If it is the only game missing from the account, you can try the below but ultimately yes, it would be something support has to look into.

• Open task manager, locate EA Background Service, and end task
• Clear the cache for the EA app
• Check that the EA app is fully updated
• Run the EA app as an administrator 
• Check for any background applications blocking the EA App
  
  
• Make sure the EA app or other launcher is closed.
• Press the Windows key and "R" at the same time.
• Type or copy and paste "%ProgramData%
• Navigate to Electronic Arts\EA Services
• In the license folder, you can delete all the files

As these are license files for older titles, you won't lose any progress or data.

Clear the cache for the EA app.