Yes, you could be fired for refusing to train your supervisor.

Can I sue if my employer does not pay me enough weekly?

Is there some form of discrimination motivating their behaviors towards you?

What can I do if my employer tells me if I knew you wore a walking cast I would not hire you?

If you experience any negative workplace consequence tied to this, you should meet with a local employment attorney immediately.

Can I obtain a copy of msds from employer for personal or medical reasons?

Attorney Baker gives you very good advice here.

Dentist hired as independent associate wants to quit before end of employment period stated on agreement

Unfortunately, I don't believe anyone will review an agreement for you free of charge on this site, nor would I recommend posting your employment...

What are the maximum hours a week for someone who works in the oilfield as a supervisor

You should take no action on his behalf. He, on the other hand, has the option to contact OSHA if he so desires.

Want to know if I am entitled to a payout upon termination of accrued vacation time?

Governing law is the law of the State in which you actually worked. For pay-outs of vacation time, the language of the handbook or policy is...

The owner is asking me to pay for a dent that I caused to the company van. Am I required to pay him?

You are probably not liable for that dent. But, they will probably try to find a way to let you go if you refuse to pay.

Is acceptance of employment always acceptance of a mutual arbitration agreement between the company and employee?

It sounds like it may have been included with other documents that required your signature in agreement perhaps?

Can I get out of a non compete agreement?

An attorney would have to review your non-compete provision and know the facts of the situation before s/he could properly advise you.