It means to give something out so that each person gets one of whatever it is.
If by righty you mean right handed the answer is no, she is left handed :)
If by a 'lefty' you mean left handed, yes he was. he was also dyslexic.
They handed over.
To get your butt handed to you or we had our butts handed to us, means you were soundly beaten. Usually in business or sports. "I just lost by 30 points and had my butt handed to me".
It probably means that the assignment has been handed in and recorded. If the mark is not recorded, it might mean that the assignment is handed but not recorded yet.
Short-handed assists
Yes.
Having an attitude of respect and humility
nothing
The word "sinister" can mean "to the left".
endorse
you are left handed