You raise some good points and there are likely many reasons for the total price of electricity production eg retailer margins, transmitters, age/quality of infrastructure, regulation at different tiers (state, federal, local), etc, in addition to the ones you raise.

But if you are factoring in total costs for nuclear, you also need to factor in the security risks and costs (eg terrorist threats to nuclear plants), costs to dispose of nuclear waste, inability to provide housing close to reactors, etc, as well.