Yes, beautifully is an adverb, a word that tells about how a verb is done; for example:
The choir sang beautifully at the memorial service.
The shoes and coat match beautifully.
The exhibit at the museum was beautifully displayedChinese jade.
Yes.
"Not like that" can be grammatically correct, depending on the context.
Yes, 'for free', is grammatically correct.
Yes! That is grammatically correct!
The phrase "You are not knowing" is not grammatically correct. Instead, you can use "You do not know" or "You are not aware."
Yes, it is grammatically correct.
Yes, Almighty God is grammatically correct.
"That was wrong" is a grammatically correct sentence.
'What a drunkard you are' is a grammatically correct English sentence.
Yes, "He sailed his boat on the river" is grammatically correct.
The phrase "Is you don't miss me do you" is not grammatically correct. It should be rephrased to something like "Don't you miss me?" to be correct.
No, it is not grammatically correct. The correct way to say it is "your older sister."