do you also hold the instrument of accession on hyderabad deccan because the nizams chose independent state?
First, neither the Nizam nor any other prince had the right to independence; the India Independence Act merely stipulated that the suzerainty of the British Crown would cease with the granting of Dominion status to the two Dominions, and the consequent withdrawal of the Viceroy, and his replacement with Governors General for the Dominions, either the same person (which Mountbatten wanted) or different ones (as happened, Jinnah in Pakistan, Mountbatten in India for some more time).
Second, Mountbatten, before leaving for India, was told by both the King-Emperor, his relation by marriage (Mountbatten's sister's son had married the King's daughter, the Princess Elizabeth), and by Attlee that Britain WOULD NOT recognise any Indian state seeking independence. This was never an option, notwithstanding whatever dreams Hari Singh, the Nizam or C. P. Ramaswamy Aiyar might have had.
Third, Mountbatten had warned all the princes that the principle of contiguity would apply; the State could not join a Dominion unless it was accessible. That ruled out Hyderabad or any of the southern states joining Pakistan.
Fourth, under Qasim Rizvi, the extremists had organised themselves and were promoting Russian style pogroms of the Hindus. Rizvi thundered that the troops of the Nizam would wash the feet of their horses in the waters of the ocean; he had completely lost his common sense, and went to the extent of attacking Hindu villages just across the border between the Hyderabad state and the neighbouring parts of British India, that formed part of the wideflung Madras Presidency.
It was in these circumstances that India sent in troops, removed the Nizam from any exercise of power and took over the state.
if it wasn an internal issue and the problem was AJK then why didn't you wrote such agreement after all you were the winners of war. but current agreement talks about whole kashmir.
The accession document was done only with the knowledge of the Maharaja alone that his state had started to disintegrate; the Indian side was kept in the dark. It was done expeditiously on the 26th, at which time nobody knew what was under control of whom.
Gilgit, and the mutiny of the Gilgit Scouts actually had taken place after the accession.