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Can you either draw a diagram of what is connected to what at each socket or post photos of each socket please. I assume when you say 'working' there is dial tone at the bedroom socket.
The blue pair connected to 2 & 5 in the bedroom is obviously connected somewhere to the incoming line, where is the other end of that cable? What other connections are there in the living room? The green pair connected to the A & B terminals is an unfiltered data extension for a router. You need to trace where all the cables go and what connections there are in each socket, including in the rear of the NTE5 that is only visible when unscrewing the backplate from the back box. You can just draw a diagram on a piece of paper and post a photo (low tech works fine )