Re: Should I mention this on my resume?
The general rule is that you only put a job on your resume if you were there for at least 3 months. 3 months is the usual "get acquainted" period in which time both employer and employee decide if they like each other enough to continue the relationship.
Act like you haven't worked as a nurse anywhere and don't refer to these other experiences. When they asked why you haven't been working, explain that you took time off for personal reasons. Don't give out more info than you need to.
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