1. Neither (she, her) nor Doreen wanted to play a statute that came to life.

2.Finally Brad and (me, I) convinced Doreen that it would be a funny version of the myth.
3.(Him, He) and I flipped a coin to see who would play the part of Pygmalion.
4.Doreen and (me, I) begun giggling when Brad pretended to be the beautiful statue.
5.Doreen, Brad, and (I, me) finally took a bow, and the class applauded.

1.she
2.I
3.He
4.I
5.I

Great! All are correct.