I agree, this issue is over. Even if you did commit a sin of omission like this, and they found out about it, it's really water under the bridge. They would, if they found out you had committed fraud as in "didn' t tell them you were going to night school" probably tell you to forget about it at this point. Because the whole idea of school and unemployment is that while you're in school, you're not able and available and seeking full time work, because you're in school. Since you have now completed school and have (we hope) gotten a job, and are drawing no more unemployment, and will not have any more to draw now for a long time, just sit on it. Re read swalsh's advice. You did commit lying and you did it knowing it was something you should have reported, and you chose not to because you were afraid you wouldn't like the answer you would get and didn't want to go through the hassle of doing it fully according to the rules.
But that's between you and your conscience. If you went in and "confessed" at this point, the system wouldn't want to hear about it, would probably encourage you to just go away. It doesn't really change your eligibility, you can't give the money back to the employer's account at this point without a decision, the decision would take up time and resources away from the department far more expensively than any recoup of the money you drew might bring about, and you very likely would be judged to have been in compliance anyhow and wouldn't have been overpaid, since you might very well have quit school and taken a good job offer if you had received it while you were drawing benefits. There's no way the system could prove you wouldn't have, and no way either you or the system can say what you MIGHT have done under the circumstances. So sit on it. Work it out with yourself.
One of the most terrible hassles we would sometimes have to deal with was the noble souls who'd watch "Cinderella Man" or listen to too much talk radio and get motivated to "pay back the welfare" they'd received from the unemployment Insurance system. Or the person who'd come in and confess he'd committed unemployment fraud (by not really making the job searches he listed) two years ago in another state, who was now coming to us trying to relieve his conscience. And we certainly did not want a repayment in cash of the unemployment someone drew two years ago from another state. Taking that money back into the system would involve a decision made by that state, we can't just take it and put it in some "honest citizen's account " that we have somewhere. I always secretly suspected these people could've found a lot worse stuff they'd done to confess and were just using us as a device to "show off" their newfound virtue.
Blatant unemployment fraud is going to be found. If you are working somewhere and drawing benefits, the system will catch this eventually. If you are drawing benefits using your dead brother's social security number and working, someone who doesn't like you will tip us off and you'll be caught eventually. These are real fraud cases. If you were drawing benefits, filling out the paperwork and showing up for call ins as required, particularly if you went through two audits and they didn't notice that you were going to night school, I'd say you are very much in the clear.
And as I've said before, they wouldn't "take your nursing license" even if you received an unfavorable decision and an overpayment from unemployment, which isn't likely .
After the fact, a situation like this, with subjective things involved ("I really didn't want the job I applied for, so I didn't wash my hair before I went on the interview!")
is nothing we are able to resolve. You can't say what might have happened if you'd done things differenly some time before. My best advice is for you to follow the rules now and do the best you can to be an ethical person. Work under the assumption that you'll probably be caught if you try to get by with something, and the chances of your sliding by are not as good as the chances you will have made yourself a lot more hassles by not following the rules.