English Memoir Grammar

Would I write "her and I" or "me and her" when I write "My brother told my sister to pack a suitcase for ___________."? I really don't know. Although, I should. It's bad when you don't know how to use this grammar or what grammar to use when you're in English 1 HONORS. That's really bad. (No offense to those who aren't. I'm just saying that it's bad that I don't know.)