Nothing wrong with it. Actually, these are spoken words only. There is a lot of ellipsis 省略號 being used here.

I am not really sure what you want to say here... my guess is that you wan to say: I am, of course, looking for it too? (like you desire to search for something?) if that is the case... remember I is the subject pronoun... so usually we will use it at the beginning of the sentence when we are referring to the person doing the action.... me is an object pronoun and it usually goes at the end of the sentence to explain you is receiving an action.... take care

Me? Of course! Looking for it, too.

I am confused as what you're trying to say. Of course, I am looking for it too. (If that's what you were trying to say, then there's a lot of things wrong with your sentence. Try to punctuate and capitalize next time.)

Terrible problems, even including the question "is this sentence have".