There are more than a few resources, at the official level, which clearly state that Kargil was under Pakistani control prior to 1948 conflict, then again parts of it were returned to Pakistan after the 65 war and only after 1971 war, the Indian side consolidated the control.
I can quote from a few more books too but would have to type up the references. Kargil was taken over completely by the IA in 1971 and not returned because of the "need to straighten out the LoC" to own advantage. Since both sides have disregarded the Shimla agreement so many times, there was nothing unprecedented in Pakistan's actions in 1999.
Again I disagree. There are more than enough references, even available on the net, that clearly document the Indian attempts to probe Chinese responses by setting up positions in areas where it was known that the Chinese would be contesting. Some posts were set up in June of 62 by the Indian side with the Chinese reaction not materializing until August. So the point is that for your own sake you will never admit that you folks have been guilty of doing the very same along the LoC with Pakistan and even China that you try to blame Pakistan for.
I personally see no wrong in something that has been considered a legitimate option to change the situation to own favour by both sides. Kargil falls into this very category.
If you folks really insist on making the crossing of the LoC such a great issue, then lets start with your violation of the IB in East Pakistan in 1971. Prior to open war, Indian troops were operating in civilian clothes with the Mukti Bahini against our security forces on our soil, so enough of this rubbish about the wrong of crossing the LoC, or the wearing of civilian clothes by military personnel. You folks have done all of this and more to others. You should be the last ones preaching to Pakistan about how to conduct war.