Yup. Those are definitely problems that are mentioned frequently with JomSocial's integration. Some people can live with it. Others choose to upgrade to JFBConnect. Specifically:
1) No, we don't have this issue, and if you run into it for some reason on your site (it's not something we ever hear of), we'd help you fix it so it doesn't happen again.
2) We have a auto-login functionality, where if the user is logged into Facebook, it will log them into your site automatically (if they already logged in through Facebook previously).
Hope that helps answer your question. If you're still on the fence, I'd recommend you read our reviews on the JED, linked below, and keep in mind that we have a 30-day money back guarantee.
extensions.joomla.org/extensions/social-...egration/7215#action
Best of luck,
Alex