Unfortunately if you deleted your default Gmail account now ,you need a system restore before restore buckup all your app ,app data ,contants for safety then restore your phone ,then after restore you will able to existing google account , and this time never delete your first (default ) google account because you have to know that Android is a copyrighted google product, some Android phone are not google authorized like some HCL handset this damages gaming experience lot of game aren't working without google play services access