Hello Michael,
Yes, those are some nasty cracks, they will need to be filled to keep the board "food safe". One of the best things, and easiest to find is 2 part epoxy glue. Get the 5 minute version ... mix up equal parts of each, maybe a 1/2 teaspoon of each mix them together well and use the thin stick to drive the epoxy into the cracks. It might be a good idea to to clean up the cracks a bit ahead of time, it will make it a lot easier to put the epoxy in if you do that. You may need to do this a couple of times to get the epoxy even with the surface of your cutting board.