Let me burst your myth..!
In 1962, India fought till the last man in many areas, even with bare hands when ammunition run out. We did not surrender like cowards.
Casualty was 1:5 in Indian favour as Chinese were using human wave attacks.
China vacated and retreated from entire Arunachal Pradesh after ceasefire as they knew could not hold on to it if India committed to the war fully.
Aksai chin is very much disputable as it was captured by Sikh army from the Tibetans, although we will not relinquish the claim.
As for Kashmir, the entire region would have been Pakistan if it had shown patience, it was already Muslim majority to begin with. Pakistani militias had reached the outskirts of Srinagar when India decided to invade Kashmir, they were pushed back all the way from the valley to the mountains before ceasefire was declared.
If Kashmir had been solved amicably then Pakistan would not have been dismembered and would have been a major south Asian power at present.