The recording date is the official close/sale date.

Tell escrow to fix the two dates on the estimate to the correspond with your COE that’s stated in your purchase agreement. Your agent should be on top of this. Little things that could cost you hundreds or thousands can be easily overlooked…

just another pro-reason for using an agent to help protect your interests. If your escrow/title co. are local, your agent should do a face to face to get these items corrected. Title and escrow rely on agent repeat business and will usually bend over backwards to keep everyone happy, but like everything else, there are layers of incompetence everywhere.