There appears to be something that isn't set up correctly.
Your "Wireless Network Connection" has got your *PUBLIC* IP address - the address allocated by the ISP which should go to the router as its WAN (Wide Area Network or "Internet") address. The Router should then have allocated an IP address to the Wireless Network Connection using one of the ranges reserved for use in Local Area Networks, most commonly a 192.168.x.x address.
It isn't clear what your Local Area Connection (your "wired" ethernet connection) is actually connected to, but it is configured to get its IP address automatically and cannot access a DHCP server from which to get it. Therefore Windows has defaulted to allocating a "169.254" address, which will give the Limited or No Connectivity indication; it won't connect to the router or have internet access with that address.