I have enjoyed this map. And I found some mistakes.
1.Some cities: Shanghai, Qingdao, Tianjin, Andong, Baotou, Lanzhou, Hami, Xining, Anqing, Wuhan, Macao, Nanning, Chongqing, Zhanjiang, Jilin, Saigon, Osaka, Tokyo,(etc, because I don't know the corresponding Chinese names of some cities)had not actual being in that year.
2.Some cities' names should be modified: Beijing-Ji, Nankin-Jianye(capital of Wu), Guangzhou-Nanhai, Hanoi-Jiaozhi.
3.There are problems about the territory. The Taiwan island and Hainan island had not be controlled by governments of any Chinese kingdoms, and there is no city on them. NorthVietnam is one part of China in those years. It was ruled by Wu. Some southern areas: Guangdong, Guangxi and Southeast Asia had not been so flourishing. There is not so many states there. And the cities in these area was actually very small and unenlightened.
4.Moreover, in the 3rd century, the Islam had not appeared. No Moghols, no Muslim Malay Princes. And... why were the Europeans here? It... it must be a fun. Expect the Roman emissaries, Europeans came here only after the end of 15th century. For Japanese, a majority of them were even under the uncivilized condition. Only Yamato and other several states were enlightened, but they are all feeble very much.
But I think, though there are these mistakes, this map is ok.

Don't be depressed for them. I am sure you can mend it and make it more perfect.