That is totally normal, as it should be. There is nothing wrong on your double IP addresses. When connected, every network controller has (must have!) its own IP address. Your first post shows you have both wireless (WLAN) and Ethernet (LAN) adapters, both connected with individual IPs. EDIT
: Sorry, I read your post too fast. My fault, I will try to be more careful
There seems to be a small problem with your Ethernet connection. You have assigned an internal IP to Ethernet but it apparently fails to connect, giving instead that 169.254.X.X address.
Let DHCP assign IP automatically; as you stated in your earlier post it worked so there should be no need to try to manually set an IP.