Have a quick run through the troubleshooting steps in the following article:
https://help.ea.com/article/how-to-troubleshoot-installation-issues
If you are downloading multiple games when completing an installation it can only process one game at a time when writing to the registry.
Restart Origin and Right-Click -> "Resume Download" on one of the games and wait for that to change to "Play" when you hover over the game tile before resuming any of the other downloads.
I would start by running Origin as administrator and disabling UAC(Change User Account Control Settings) as a good start from the help article above.
You can also try this:
- Launch Origin and log in with your account
- Click Origin in the top left (main menu)
- Select Application Settings
- From General tab, scroll down to "Update to the beta version if available" and tick the checkbox
- Restart Origin
This should fix any looping or stuck downloads.
If you are still experiencing download issues, make sure that you are running the latest Origin beta version (as described further above) and try flushing your dns cache: https://help.ea.com/article/how-to-flush-dns-cache-for-windows
