If you're illegal, yes.
you can't
Your employer most certainly has the right to make a suggestion. Of course, you have the right to respectfully decline. If your employer insists you take drugs for a mental disorder "diagnosed" by this employer, you have the right to respectfully inform this employer that it is illegal to practice and prescribe medicine without a license to do so. Unless, of course, your employer is a licensed practitioner of mental disorders, but even then, you have the right to respectfully decline.
Yes, an employer can suspend you for a week in a right to work state.
There is no legal obligation upon an employer to provide a reference.
Yes an employer can tape a call with the right equipment.
Is this your personal cell phone, or is it owned by your employer? If the former, NO they have no right. If the latter, it is not YOUR phone, it is THEIR phone, and as such they have the right to inspect the phone.
The alien act of 1798 gave the president the power to deport dangerous aliens.
Not at all, if the former employer was disatisfied they have every right to inform future employer, if asked.
NO.
I doubt it. This is a free country. Please be more specific and I can give you a exact reason for or against it. For more information see www.steveshorr.com
The right to decline testing and get dismissed. Unless the employer negotiated an individual or union contract with different rules.
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.