Can Zhanjiang Xiaoshengchu report to both public and private schools?

You can't. Official website of Zhanjiang Education Bureau shows that Xiaoshengchu can apply for two schools at the same time. For public schools, each eligible student can only apply for one institution. Therefore, Zhanjiang Xiaoshengchu cannot register for both public and private enterprises. Zhanjiang, formerly known as "Guangzhou Bay" or "Port City", is a prefecture-level city in Guangdong Province, People's Republic of China (PRC), located at the southernmost tip of Chinese mainland and at the junction of Guangxi, Guangdong and Hainan provinces.