OEM Replacement SIM Card Tray Holder for iPhone 5S
And you have tried almost everything you can by searching on the internet: paperclip, power off and power on....
What if there is no response after you have tried whatever you can? The device can't identify your card!
http://www.hytparts.com/000672-oem-replacement-sim-card-tray-holder-for-iphone-5s.html