Fine Nuances Between Words

Vocabulary has always been an integral part of every entrance exam.Given below are sentences with a pair of homonyms in each and you are required to pick the correct option according to the contextual usage.
The Houston United has sued its CEO on account of BREECH(A)/BREACH(B) of contract.
The Government is setting up schools in DISCRETE(A)/DISCREET(B) locations across the rural belt to promote preliminary education for the girl child.
Nikita was easily able to SHEAR(A)/SHEER(B) her mind away from all the unpleasant incidents that happened in her life.
Mrs Sharma made sure that she would MILITATE(A)/MITIGATE(B) against the mass deforestation of the Sukhwan locality.
Despite being TORTUROUS(A)/TORTUOUS(B),the movie was a visual delight.
A) ABBAB B)BABBA C)BABAB D)BBABA E)ABBAB

You are welcome to give the meaning of the words.Go ahead hit the Dictionary!!!!Happy hunting!