Applied at local credit union for Unknown

I recently left a toxic work environment and am currently unemployed. I've been interviewing with a local credit union and they want to proceed with a background and credit check. I believe my background will be fine, but I'm a bit worried about my credit score, which is 680. I have a car loan, a student loan, and a few credit cards that are nearly maxed out, although I've had no missed payments in the last two years, aside from one incident a few years back. I applied for a new credit card the same day I was approved for the job, thinking it would help with the credit check, but now I'm second-guessing that decision. Should I be concerned about how this might affect my job prospects?