Hi colmax,
Thanks for posting, sorry to hear about the trouble you're having with your online account.
Can you please confirm if you have tried using an alternative browser or clearing your cache and cookies?
Some parts of the reCAPTCHA verification require you to continuously select all images that include the requested object / scene. The image reappear once you've clicked on them. If you have not kept going until no images have what is being asked, you will be asked to complete it again and you won't be able to move on.
Let me know,
Beth