pronouns - Special Form of "I", "Me"

I have two sentences:

1. 
   

   
   

   John, Jane, and I went to the party.

   
   

   
   


2. 
   

   
   
   

   He and I went to the party.

   
   

   
   

But I think there is a rule that says a pronoun at the end of a list should be in a special form (for "I", the special form is "me"). So, my sentence 1 and 2 should be rewritten like this:

3. 
   

   
   

   John, Jane, and me went to the party.

   
   

   
   
   


4. 
   

   
   

   He and me went to the party.

   
   

   
   

But in a lot of writing, sentences like sentence 1 and 2 are used instead of sentence 3 & 4. Is there a special rule that allows not using "me" for sentences similar to 1 and 2 for casual writing?