Mr Rivets sir, I do not full understand what you mean by the term "booster station". Some routers can be instructed to work as a repeater or a bridge.
I did a Google on the former option and
it looks like it's possible.
As to your last question, a yellow (network) cable usually indicates that it is wired as a crossover cable, used primarily for a one off computer to another computer connection. Most modern routers are smart enough to cater for this if one of these is used in a computer to router communication regime which would normally expect a 'straight through' configured (normal) cable.
There is also the possibility that your Netgear device, like some of mine at times seems to occasionally ignore connection requests from the host computer. I've sometimes had to do a complete reset (push the little black button on the back) to bring mine back from it's state of ignorance.
I apologise if I have seriously misunderstood your question, but that's what I can offer for the moment.
Regards,
FOR
(in coffee deficient mode)