Yes, care is a Scrabble word!

Verb

1. Feel concern or interest

2. Provide care for

3. Prefer or wish to do something

4. Be in charge of, act on, or dispose of

5. Be concerned with

Noun

1. The work of providing treatment for or attending to someone or something

2. Judiciousness in avoiding harm or danger

3. An anxious feeling

4. A cause for feeling concern

5. Attention and management implying responsibility for safety

6. Activity involved in maintaining something in good working order