Hi @Anonymous and @Anonymous,
@Anonymous - that's great to hear! I'm glad that you were able to get it back up and running! If the issue comes up again, please forward along the information I had previously requested and I will be happy to look into the issue to see what's happening.
@Anonymous - I'm sorry to hear about the problems you have been having launching Fusion! From the screenshots, it looks like you are trying to launch the Fusion installer. The issue is a little unclear to me as of right now. Had you had the trial version of Fusion when you had purchased a subscription? If so, you shouldn't have to reinstall Fusion after purchasing the subscription - the subscription should be automatically tied to your account.
However, I think you may have gotten your machine into a "confused" state. Let's start off with doing a clean uninstallation of Fusion 360. The article linked here provides a utility that will automatically perform this for you. One quick thing to note here though - when prompted, you should be sure to hit "No" to keep your locally cached designs intact. This will prevent you from losing any versions of designs that you may have saved while working offline (if you have been doing so) while you have been experiencing this issue.
Once that utility finishes up, you can go ahead and reinstall Fusion 360 from the link provided here. Now, I know that it says that you will be downloading the trial version of the software, however, once the installer finishes up and you sign into your Autodesk account within Fusion, you should see the benefits of your subscription.
I hope this helps! Please let me know if you have any questions or concerns - I am always happy to lend a hand!
Cheers,