OK then, getting started with AppleCare+ .Understanding you correctly you have no coverage for AppleCare+ since its offered during purchased dates as a 2 years extension from your limited warranty: http://www.apple.com/support/products/iphone.html .Can I suggest Out Of Warranty services which entails:
Repairs are considered out of warranty when:
iPhone is over one year old
iPhone has an issue that’s not covered under warranty or consumer law, like accidental damage or damage caused by unauthorized modifications.
As for screen repair, Damage caused by accident or abuse isn’t covered by the Apple warranty
Check this support article: iPhone Service Pricing - Apple Support .Good Day.