Being a husband, it is your moral responsibility to make sure your wife is mentally and physically fit.

That's impossible to do. Even your own health is beyond your own control to a significant degree. It is your wife's responsibility to maintain her own health by following healthy habits. You can't do that for her and if you try to control her, you are likely to come off as a micromanaging jerk.

Always make sure that your lady is calm and has peace of mind.

Another absurd requirement likely to result in irritation and discord if attempted to fulfill.

Listen to her when she talks, and try your level best to understand her. If you cannot, carry on with the conversation until you reach a mutual agreement.

It's definitely important to listen to your partner. But you should not press for an agreement. Sometimes the best you can do is to agree to disagree.

Show her that you care and do your utmost to ensure she is happy and content with her life.

Showing that you care is a good idea but you're not responsible for her happiness, or anybody else's for that matter. Happiness is mostly an innate quality depending on your life history, mental health and habits, and heritable factors. Trying to cater to your wife's every little whim is a path to an unbalanced and unhappy relationship for your both.

Encourage her and support her choices and decisions. In this way, you will be doing wonders for yourself and your relationship.

If you agree those choices and decisions are good for her and your relationship, yes.