I plan on leaving my employer for a new job with a two week notice, but a coworker has a vacation planned two weeks after I leave and there is no one else to provide cover. I would think asking to delay my start date with my new employer by a week would be reasonable, but two weeks might not be agreeable.
I don’t want to cause any friction with my new employer, but I also don’t want to leave on bad terms with my current employer. Will I be ineligible for rehire if I were to leave before my coworker takes off for vacation?
Background checks typically only flag legal history. Your employer absolutely does not submit a list of ineligible employees for government record keeping, that’s purely internal use. If you aren’t planning on coming back, there’s absolutely nothing to worry about.
If a new job asks for references they might find out, but the risk of getting slapped with a lawsuit for keeping a former employee from getting a new job means it’s very rare for a (competently run) business to say something negative about a former employee unless it’s very severe and well documented.