Looking at my P-40 handbook, the box just aft of the black dial looks identical to the "SWITCHBOX BC-345" which has a three-way selector for 'range, voice, and both' and a phones jack on the bottom. An early audio control is my guess.
The black dial, while not a perfect match, sure resembles the ADF tuner.
Just going by the similarity between those paddle switch boxes and the ones pictured in my book I'd guess at least one of them is a transmitter selector, if that aircraft was equipped with one.
I suppose those switches are so big so you can grab them while wearing the leather flying gloves that were common then. They seem so oversized compared to what you see in modern cockpits.