If I'm writing an invitation to the party I'm organising, I can write:
Bring your own alcohol.

If I'm going with my friend to my sister's party, which one is correct:
I think we should bring our own alcohol to the party.
or
I think we should take our own alcohol to the party.

If I'm giving advice to my friend from different city, I should say:
You should take your own sandwiches to school instead of eating in the school canteen.

Would "bring" be a mistake here?
You should bring your own sandwiches to school instead of eating in the school canteen.