Thouhts are correct
The equivalent proverb in Tamil is "சக்தி சொல்லும் உறுதி அழியாது" (Sakthi sollum uruthi azhiyadu), which means that the one with power or authority is always right and cannot be questioned.
The general meaning of the proverb is that when it comes to solving your own problems, you are the best person to do that. The French have a equivalent proverb: Help yourself and God will help you.
The meaning of the proverb 'Unity is strength' is that there is power in team work. This proverb teaches when people come together and work together towards a common goal there is success.
From which Proverb verse is "Virtue is its own reward take from?"
It depends upon how you are living. A proverb is a guideline to living right.
The synonym is "saying" - the meaning of "saw" is an old proverb or truism. Other synonyms might be shibboleth or slogan.
Their character might be from grandparents or it could be a close friend/ relative's influence.
Subject
a drowning man will clutch at a straw
The meaning of the proverb is that whatever you do comes back to you in a good or bad way, depending on the kind of person you are.
a cat can see a king
The proverb 'time is money' means if you are wasting your time, you are not making any money. Your time is valuable.