Not usually, no.
It is illegal for an employer to ask about your past medical history, because it is a violation of YOUR privacy. Your health information should be for your concern and it is YOUR choice only to release this private information to another party.
Anybody can ask anything they like, but your employer can't look at your father's medical records unless your father gives permission.
You cannot be asked medical questions or health questions if you are applying for a job. Your employer can ask you health questions and can even ask for your medical records, but you do have the right to refuse those requests.
It isn't illegal for them to ask, but you need not surrender them, nor can the employer compell you to. Your medical records are yours and no one else has a right to them under federal HIPPA laws.
They will ask your medical history, family medical history, ask about previous pregnancies/abortions. May ask you your birth plan if you have one, may ask questions about the father and his medical history.
It may have been a condition of your employment, the employer may have paid for it, in which case the employer has the right to know the results as they may affect you in your employment.
Generally, employer-supplied insurance will provide major medical. Check your policy or ask your HR representative about your specific policy.
Think about how you would like it, when people know your medical history. It's confidential so you are not obligated to tell your employer e.g. and other people are not able to see your medical history.
Your work history, is all...
A prospective employer DOES have the right to ask about your employment history.
A typical lease form ask for your prior address, your employer and references. They may ask about your rental history and income that you are currently making.
Yes you have to your employer