Why we prefer the mean square error rather than absolute error and mean error in this simulation? which one is not right?

A、Meansquareerrorshrinkthesmallererrorandenlargethebiggererror.;
B、Meansquareerroriseasiertodealwithbycalculus.;
C、Meansquareerrorarenonnegtive;
D、Meanerrormayequalto0butthedatasetstillprettyspreadout.