You do not say whether you are referring to the wired or the wireless connection but neither of them is connecting. Both adapters are showing as having DHCP enabled which means they should be requesting and receiving addresses from the router but are not. This suggests that the router is not responding to DHCP requests. Are there any other devices connecting to the router? If not then do a hard reset on the router. This is normally done by looking for a tiny hole at the rear of the router and whilst it is connected to the power inserting something a paper clip into the hole and pressing. This should cause thwe router to restart which will beindicated by the lights turning off and starting to flash.