Nintendo released a new model of the Wii late into the console lifecycle, the Family Edition (it was 2011). For whatever fucking reason, they removed backwards compatibility from that model. That's what the OP probably has. I find that a rather dick move from Nintendo, but oh well.
Maybe, but it was certainly based on the fact that few people used that function and the ports only confused the majority of owners. Still pretty stupid to have a BC console and not have the connections.