Ahhhh, Mesquite---don't you just love the variability in the wood? My favorite to turn.
Great advice on the tools, especially the carbides---started out with those, but don't use so much anymore.
Look at the cracks, if there's matrix from the tree in them--usually appears as a dark line which shows the tree was repairing them, ie--no gaps between edges. Those I watch and turn not real fast. if the cracks have narrow gaps---well, that's what CA was made for. Large gaps I will fill with epoxy as I'm turning, looking to see if they extend any farther, and look them over for extension whenever I stop the lathe--- or if the "sound" changes while turning.
The dark area is most likely the inside of a bark inclusion---there is NO mistake about missing a rock being there.
As for the punky area (which are common in burly pieces), I like to use thin CA. It'll require reapplications.
Sometimes history helps---I
won't turn Mesquite that's been 'dozed--those cracks you don't see until it explodes (been there done that)---you just don't see them.
If it's too much---could send it here for "inspection"