Does the company have the right to suspend me for something off the clock?

I broke my hand a few weeks back and I was asked to get a doctors note stating I could work. I did that. Then Was told the doctors note is "too vague" and I need another one. I went and got one the listed me as "restricted to 20lbs with my RT hand,, but full duty on the counter, selling. They now ask for a NEW doctors note saying I need full release. That wont happen because my hand is broken, obviously. If Im able to do my normal duties other than lifting tires do they have the right to keep me from working? Also they are saying I have maturity issues and attitude problems because I broke my hand during a heated argument with a girlfriend. Is that any of their business and can they hold that against me to keep me from being on the counter? There is definitely more to this if anyone would like to hear it, unfortunately Im out of character spaces. Help would be much appreciated!