I mailed the check in. You will have to wait to see on your bank account whether or not they received it because, no, they do not send out a confirmation email. But you do get a contract from Lejeune. I have made several revisions to the contract, and I usually get a response pretty quickly.
But if you're worried the only thing to do is call, as it will clear the situation up much faster. I just prefer email because then I have documentation of what was agreed upon, etc.