Q: I’m a Federal Employees Retirement Service employee, 54 years old with 25 years of service. I have a 91-year-old father with Alzheimer’s disease who requires full-time care. Is there any program where I could take an early retirement to care for him?  Also, I have an upcoming background investigation due. If I didn’t provide this, could I be fired, but still be eligible for immediate retirement? A: Along with receiving approval for the use of annual or sick leave, you could request up to 12 weeks of unpaid leave under the Family and Medical Leave Act. Whether you would…