When you initially purchase our products it is at a sales price, when it renews it's at regular price which would explain the price increase. Our prices are also subject to change at anytime. In regards to your questions.
1) If you are using our Website Builder, you would have to create a new site at your new hosting provider. You can save text and images, but since it's template based the content cannot be migrated.
2) If you want to use another email provider, you can save your email messages/contacts by using an email client. Check out this help article.
3) Yes, if you allow the email plan to expire you will lose of all your messages/contacts.
If you have any additional questions please give our support team a call.
KayJay - GoDaddy | Community Moderator 24/7 support available at x.co/247support