Actually it was INDIA who started the 1962 war. Firstly by hosting our largest separatist group in 1959, then with the Forward Policy in 1962. Both of which occured
before the Sino-Indian war, so you clearly started it.
In 1962, China was just coming out of the worst famine in Chinese history (1959-1961). Not to mention that we had BOTH the superpowers (USA and USSR) as our sworn enemies at that point, having just fought directly against the Americans in the Korean war, and against the Soviets in the Sino-Soviet split.
India tried to attack us when we were at our weakest point, since they thought we were collapsing with starvation and famine, and we couldn't fight back. Then when you got smashed, you ran to the USA and the USSR for help. Despite both the USA and the USSR being our sworn enemies at that point, neither one came to help you.
India pleaded for US help against China in 1962 - Times Of India