Do the photos show the two sides of the blank? If so I don't see how you can cut out the cracks. I think what I would attempt is to fill the cracks with dyed epoxy. This might take two or three pours to get everything filled. I would then cut it in giving you two blanks approximately 240 x 240 x 130 mm. Rather than try to cut this into strips and segments I would then turn to solid (chunk) bowls or Southwestern style hollow forms. The nails might cause all sort of problems if they can't be removed.
One option for the large bowl is to make two bowls from it using the Bowl from a Board process. You would cut the center part containing the splits leaving you two long halves. If you were to cut those two long halves in two and start with the two pieces from the left side and the two pieces from the right side and each would make a very nice historic bowl. There is an awful lot of information available on this process and YouTube would be a great place to start.
If you choose this direction, make sure you practice a lot with cheap wood. They don't make a lot of 300-year-old blanks anymore. :->