Questions about example sentences with, and the definition and usage of "Laxity"

A: Laxity is about the quality of looseness, a lack of strictness
E.g. The Sergeant was shocked at the laxity of discipline (lack of care of discipline) in the camp.

Ease is about feeling natural, comfortable, and involves a sense of effortlessness.
E.g. He completed his homework with ease.
E.g. He felt at ease only at home.

Ease can also be used as a verb, unlike Laxity. Here it means to soothe, sort of smoothen things, or to facilitate something.
E.g. The manager gave the new employee some time to ease into his new position.
E.g. The medicine managed to ease my pain.