If you have had a license suspension, do not get your feelings hurt if you are rejected. In several areas, every employee's driving history has to be reviewed by the risk management office or insurance underwriters.
You can be a bright shining star, but if they recommend that you not operate a police vehicle, you are toast. Yes, this can happen.
Financial Responsibility History
Yes, your credit history will be reviewed closely. Your ability to stay out of debt is a major indicator. Many feel that if you are a credit risk, you are subject to breaches of integrity later. If you have a bad history, start working on it now and clear it up. If you have a good one, keep it pristine.
No, I have not covered all of the "but what ifs" of life. Each state and every applicant has a different story. This is what makes it so hard to give a solid answer. So, if you call me, you could get the answer, "it depends."