Q: Does "death" have the same meaning in the following two sentences?

He seemed more content in death than he had ever been in life.

Her death came as a terrible shock.

A: different meanings

Q: Does "point" have the same meaning in the following two sentences?

At that point I had to leave.

To fall off a point.

A: different meanings

Q: Does "case" have the same meaning in the following two sentences?

A mental case.

The musicians left their instrument cases backstage.

A:
different meanings