No, they are not. However, the first two do not seem quite right. Although technically correct, it is a bit awkward, and people don't really say that. For the first sentence, it would be more accurate to say, "I was terribly/horribly wrong", or simply, "I was wrong". For the second sentence, it would be more accurate to say, "I was terribly mistaken", or simply, "I was mistaken." Because the adjectives (wrong, mistaken, misled) all have negative connotations, "badly" can be quite redundant.

When you're talking about yourself: I was sadly mistaken. When you're saying it to someone else: You were sadly mistaken

I was horribly wrong I was badly mistaken

Oh and it would be better to say: I was SADLY mistaken. I don't think people say 'badly' ever.