The Coast Guard is a very selective branch and the recruitment process is very thorough.
As part of joining the US Coast Guard you will also be subject to a police background check and as with other military services; felony convictions will disqualify you from consideration.
The Coast Guard will also run a credit check to check your financial history.
Many of the Coast Guard missions deal with national security. A security clearance check will ensure that guardsman are able and willing to safeguard national security information.