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

Not a breath of scandal ever touched her.

The child's breath came quickly and unevenly.

A: different meanings

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

The hurricane demolished houses in its path.

Genius usually follows a revolutionary path.

A: different meanings

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

He doesn't care about how / whether she comes.

I really care about my work.

A:
the same meaning