What is the difference between [person] and I, and me and [person]?

Question

I have struggled with this quite a bit, even as someone pretty advanced in English. It’s been explained to me many times, but nothing is making sense.

In: 35

Answer 1

Does the sentence make sense if you take [person] out?

*Jane and me went to the store*

or

*Me went to the store.*

Nope, so it’s “Jane and I went to the store”.

*Can you get tickets for Marcos and I?*

Or

*Can you get tickets for I?*

Nope, so it’s the former.

That’s how I remember it.