Inflation.
China's economy is known as a command system, or a socialist economy. This means that the wealth of everyone in China's work force is evenly distributed amongst everyone in the country. This poses a problem for people's incentive to work which is the main flaw in this type of economy
They are forced to be Atheists in their communist state.
China understood by experience that entirely depending on domestic market under government control is not suffice to overall development of its economy. So, even being a communist party led government, they moved towards western model of mixed economy where market is the main arbiter.
During WW2, the common enemy of China was Japan. Communist vs Nationalist warfare would become a main problem when WW2 ended.
No aspect of China's government is entirely independent of the Communist Party. The Party is the main instrument of the state and the regime.
china was the main one
Mao Zedong was the originator of the successful Communist revolution in China.
Manufacturing output, Infrastructure Builds and consumption are the some of the main components of China's economy and GDP growth.
For communist China, yes. China thinks red is good luck and wears it on New Years Day.
The main issues were the economy and the Communist threat including a perceived "missile gap" with the USSR and the Communist government of Cuba. Kennedy promised to fix both.
Civil rights
Much like now, China had a single-party, totalitariandictatorship. The main difference between then and now is that China was very hardline communist at the time, but now they're sort of communist-in-name-only.