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

The accusative case canonically indicates a direct object.

A case of the jitters.

A: different meanings

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

The train backed into the station.

The wind backed.

A: the same meaning

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

Might I beg leave to accompany you?

The applicant now seeks leave to appeal and, if leave be granted, to appeal against these sentences.

A:
the same meaning