Hey
I see that you are having issues with your Envy 7640 e-All-in-One Printer. As you are on the Instant Ink program, I suggest contacting HP Cloud Services directly. You can do so by clicking on this link and filling out the form at the bottom. They should be able to assist you with the Instant Ink program and your connection issues.
Please let me know if you are able to reach some resolution. If you are, please click on Accept Solution. If you appreciate my help, please click on the thumbs up icon. Both icons are below this post.