In my experience with an appeal they generally do allow you back on after the first suspension as long as there's not any type of fraud involved. You respond to the email, professionally, outlining a new "business plan" telling them what you're going to change and how you're going to fix the issues that caused the negs. and low performance.
If they reinstate you, do everything that you can to avoid any more negs for awhile, you don't get another chance after the first reinstatement. Maybe, discontinue selling the items that cause a large amount if negs., ship quickly, pack well and send a thank you note in your packages with a phone number for customers to reach you. | 
