IPhone 5s :: Set Up All Email Accounts Twice - How To Restore

I have been getting a lot of my emails twice for both my verizon account and my gmail account on my iphone 5s. I will go through and delete emails and then a minute later I will get the same emails back again as unread. However, the ones that I have read and kept, show up as read.Â

I found an answer which led me to believe that when I transferred from my 4s and had trouble with the email accounts I must have set them up twice, although I only see one listing of each account on my device. But the answer didn't explain how to fix the situation. I think it may also be eating up my battery life.