This phrase has the same error as I cited in the discussion "Aku dan kamu.". When you say "Saya dan dia", the literal translation is "Me and him/her". Not "He/She and I" because that would be backwards. Again, if I am wrong, please do not hesitate to correct me. If I am correct however, please let the creators/editors see this so the error may be fixed. Terimakasih!
It would be incorrect grammar to use the object pronouns "me" and "her" in the subject place of the sentence. The subject pronouns "I" and "she" are required in English. As for the order of the pronouns, the correct order would place "I" closer to the verb ("are"), so the order should be "She and I are rich."