Problem with saving new contacts to my iPhone

Hi, folks!

About a week ago I started to experience a problem with having double of every contact on my iPhone contacts list. I was able to solve the problem by going to "Groups" in the upper left hand corner of the Contacts page and then clicking only on "card", leaving "All iCloud" unchecked.

Since this time, I have found that whenever I enter and save a new contact into my iPhone, it doesn't show up in my contacts list unless I go back to "Groups" and check the "All iCloud" box. I am now left with the problem of either having double of my old contacts, or having to go without my new contacts.

Does anyone know how I can resolve both of these problems?

Thanks in advance!