We know that the first person singular pronoun is ‘I’ when it refers to the subject, and ‘me’ when it refers to the object of a sentence.
So, to say, “Jim and me are going shopping” is not elegant speech. It should be “Jim and I ” because if I were shopping alone I would never say “ Me is going shopping”.
Many of us say, “The document had to be signed by both Susan and I ” when the correct statement would be, “The document had to be signed by both Susan and me ”.
The statement, “Give the package to Joe or myself ” sounds awful, doesn’t it? The correct usage is “Give the package to Joe or me .”
The word ‘myself’ is a reflexive pronoun. Imagine looking in a mirror and seeing your reflection. You’d say “I see myself in the mirror”. You see your reflection in the mirror and ‘ myself ’ is a reflexive pronoun. You use reflexive pronouns to refer to the subject of a sentence again, later in the sentence. For example you could say, “I’m going to treat myself to a burger.”
Reflexive pronouns could also be used to add emphasis to a sentence. For example, if you had witnessed an event, you could say, “I myself was there at that time.” It’s dramatic, but it’s also grammatically correct. The meaning of the sentence doesn’t change if you take out the word ‘ myself '; it just has a different feeling because now it lacks the added emphasis.