Why will the engine not crank after replacing the passenger side cylinder head?

The first thing i would do is use a beaker bar on the front of the engine at the balancer bolt to see if the engine can be rotated by hand. You might have a bolt in a cylinder which will not allow the engine to turn over.

This guide can help as well:

https://www.2carpros.com/articles/starter-not-working-repair

Can you hear anything when you crank it over? Can you please shoot a quick video with your phone so I can hear the noise? That way I can tell for sure what's going on. You can upload it here with your response.