Adding email body to case feed when customer replies to a closed case.

I have a process builder setup that raises a new case if a customer replies to a closed case.  This is all working well in that it puts the new case in the same queue as the original case but there are a couple of things missing.

It doesn't seem to pickup the contact information even if the contact exists on the system.  Hence it then doesn't pickup the account.  Is it as simple as just doing the same as I am doing with the case owner and getting it to set them to be the same as they were on the original case?

The more important issue is that on the new case that gets raised the content of the email does not get added to the case feed, it is only in the case description.  This can make it hard to read if there is a bit of an email thread.  it would be great to get the email added to the case feed as it does when raising a standard case through email to case.