Where is Shuyang Social Security Center?

Jiangsu Shuyang is where your household registration is located, right? You can apply for insurance yourself at the place where you register, and then go through the social security transfer formalities from Suzhou to Shuyang. You can consult the staff of the social security center when you apply for insurance.

Further reading: How to buy insurance, which is good, and teach you how to avoid these "pits" of insurance.