I realized that my support ticket isn't submitted. So, I re-posted this.
We're using Gravity Forms to create a post and we integrated this with the GF + Custom Post Type plugin. Basically, the problem we are having is that the value input by the user is not passed to the custom fields correctly. We have tried to output in a different field and it displayed correctly, just the Date field as in the screencast - http://screencast.com/t/voBmetVbm
We know that it's a third party addon, however, we have contact the developer directly and he mentioned that the problem isn't because by his plugin and suggest us to contact you.
Reason being is that it is related to the custom fields which is already available by Gravity Forms.
Before that, we have contact the developer on the forum and recorded a screencast (above):