Translating to care for each other into Latin

1. What is a Latin word that means care?
2. What Latin word that means working together?
3. What's the Latin word for support?
4. What is Latin for don't care?

What is a Latin word that means care?

Etymology 1

From Latin cūra (“care, concern”), from Proto-Indo-European *kʷeys- (“to heed”).

What Latin word that means working together?

In the case of collaborate, com- teamed up with laborare ("to labor") to form Late Latin collaborare ("to labor together").

What's the Latin word for support?

auxilium : aid, help, assistance, support.

What is Latin for don't care?

et ego non curo is correct and means "I don't care", but you could also say et ego non curam do, which means "I don't give a care".