Financial hardship is sometimes an excuse to get out of jury duty, but I'm guessing that NO ONE thinks any time is good to perform this civic duty, and I know that many, many people claim this hardship and still have to show extenuating circumstances. Courts are too busy and need too many jurors to just use those who are independently wealthy or retired or whose employers pay for them while they're on jury duty.
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A jury summons can be postponed. Call the jury commissioner or go online and request to move jury duty. However, I think your logic is wrong. Jury duty is best now rather than after you start a new job. You even get some money for serving. I do not think a judge will excuse you from serving because you may have an interview.
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No, being unemployed is probably not sufficient to be excused from jury duty. I often have unemployed persons serving as jurors in my jury trials.
However, if the timing is bad, you have the right to seek a postponement of your jury service.