Welcome to the community!
Were you able to get this worked out on your end, yet? If so, do let us know what happened and what you did to correct it. I'm sure other members who might encounter this on their own sites would appreciate the solution.
If you're still having trouble with your published dates not appearing in live posts, then you may want to provide a little more detail on the situation so other WordPress members have a better understanding of the issue and the specific error messages you're encountering. Be sure to let us know what you've already tried to correct it on your own so folks don't suggest a route you've already attempted.
We have as yet not sorted out the source of the problem but have found an interim solution via a plugin - "Scheduled Post Trigger". Without this plugin though the problem persists.
Here is some additional info:
I hope this info helps to sort out this problem.