1) If you click on the cog button for settings does it offer you any options to play, update or repair the game?? If repair or update, try those.
2) Does the game show up in installed apps/programs lists in your windows?? If it does, then find the files for it in the install directory, copy them to a folder something like Backup or so, then once you have the duplicate, see if Windows will uninstall MEA, then see if Origin will then download it and reinstall it. Reason I said to make a copy is, IF this works and Origin proceeds to work again, you pause the download and then copy all the files back to the install location and then restart the Origin download. This should then make Origin think a bit, and proceed with install part after verifying the files and thus you don't have to download the entire game again.
3) As for downloading cracked files...yeah, you own the game, but if EA/Origin catches you with cracked game playing, you can still get banned from your account. Also, I have heard of a few really odd bugs that are part of the cracked game, such as not being able to open/pick stuff up and some say this is programmed in by EA to occur on cracked games....that last sounds like a reach but that is rumor. Personally I have had very few issues with the game, and have greatly enjoyed it. I hope you get it going and have fun.
4) Stupid question time....you did check your junk/spam folder on the email account for the instructions?? And you may want to try the support again, as much like anything some are better than others and you may want to see if you can get pushed up to a lead or supervisor, since you are trying for the 10millionth time..
@EA_David@ wonder if you have any ideas or can shed some light on tech help.