To have 1 HDMI input not working, is usually caused by a less than solid connection (cable plugged in), as each HDMI input would tend to go into an input selector chip. There is only the jack itself, and maybe a few passive components between the jack and the chip. I would try to reconnect this connection in real time while playing back some material. This is called "hot-swapping"
But, the OSD issue is a different story. You could try a system reset for that. Otherwise, you'll have to contact Outlaw.
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