The familysearch record for the 4 Apr 1850 date doesn't make it clear where the record came from. That record group included records from the old IGI collection, which makes it not very reliable.
The record for the 25 Apr 1850 date clearly shows this is from a state record book. The image shows the license date to be 1 Apr 1850, and they were married on 25 Apr 1850. Those are the dates I would use in the profile.