An organism can make its own organic molecules using simple inorganic molecules. does it qualify as a heterotroph?

Heterotrophs are not able to produce their own food. Alternatively, they acquire from organic substances for energy and food. Heterotrophs cannot obtain organic substances from inorganic molecules. Therefore, no, an organism without the traits mentioned does not qualify to be classified as a heterotroph. 

the correct answer is - d. china has a large and growing population.

the fact that china has a large (the biggest) population, and it is still growing, doesn't hinder the agriculture production in the country. in fact, it can for increased production in the agriculture, since there's more labor force, as well the sheer mass of people produces lots of scientists that come up with new inventions as to how to improve this sector. nice example is the inner mongolia region in china, in general dominated by the gobi desert, but few scientist came up with a nice idea as to how to make the region productive by using plants that are very resistant to droughts, so lots of people have been employed, and the region is becoming greener and greener each year, and the production of food in this region is also increasing.