Question: "place" used in the same way in the following two sentences?

A place in my heart.

He has a special place in my thoughts.
Answer: the same meaning
Question: "mask" used in the same way in the following two sentences?

They moved in under a mask of friendship.

No mask could conceal his ignorance.
Answer: the same meaning
Question: "shag" used in the same way in the following two sentences?

The dog's woolly shag.

He bought a shag rug.
Answer: different meanings
Question: "head" used in the same way in the following two sentences?

Tickets are $5 per head.

We will consider performance issues under the head of future improvements.
Answer:
different meanings