'She does not have her book' is grammatically correct.
He, you and I is not grammatically correct. The proper way to say this is you, him and I.
Yes, soonest is correct grammatically.
"Not like that" can be grammatically correct, depending on the context.
Yes, 'for free', is grammatically correct.
Yes it is a grammatically correct
Currently we have is grammatically correct.
This is not grammatically correct. The correct form is 'you do not know', or the abbreviated 'you don't know'.
Yes, it is grammatically correct.
'Rhoda's crazy' is grammatically correct.
"That was wrong" is a grammatically correct sentence.
'What a drunkard you are' is a grammatically correct English sentence.