If you are not sure whether to use me or I then try this simple test.
- Arthur and me got home at 5.
- Arthur and I got home at 5.
Re-write your sentence leaving me or I in but take out the other person.
Compare:
- Me got home at 5.
(Sounds wrong.) - I got home at 5.
(Sounds good.)
- They are going to send my wife and I a package.
(Original sentence.) - They are going to send I a package.
(Sounds wrong.) - They are going to send me a package.
(Sounds good.) - They are going to send my wife and me a package.
(The final sentence.)
- Jim and me are going to the beach.
- Me am going to the beach.
- Jim and I are going to the beach.
