How do I keep the widget with option for readers to click articles on my site, but STOP the widget from posting articles to my followers reader?
The sharing plugin isn’t the source of this behaviour. I would suggest that you check your Scoopit settings on the Scoopit website to make sure you’re not automatically posting to WordPress.com from there.
none of MY blog posts appear there anymore.
If you want your blog posts to be sent to your Jetpack subscribers, you will need to contact the Jetpack support team to have them transfer all your followers from your WordPress.com site to your new Jetpack powered site:
http://jetpack.me/contact-support/