Does the contact form send mail from a sender address of one of your domains? (The FROM address.) You need to first create that address, as it is required that mail can be sent only from an address that exists on the server. If you have not done so, create that address as a forwarder or mail account.
Once you have done that, test again. If it still doesn't work, you can post here again. There are some special issues about how parked domains' mail works. I can check my notes.
If lifesongretreat.org is intended to now be your main public domain, I suggest that you reverse your thinking: use lifesongretreat.org as the cPanel account, and park or redirect lifesongretreatministries.org to it for anyone still using the old domain.
Also, if you want the public to learn lifesongretreat.org, I suggest that you Redirect lifesongretreatministries.org rather than Park it. It's more logical.
I am not WHB staff and I am not paid.
I provide help in these forums on my own time.