1. Independent enrollment is a policy set by each university. It is recommended to directly call the university you want to apply for. Personally, I feel that having a patent certificate should be a reference when applying to certain universities, but you should not expect too much because of patents. After all, the core examination content for independent enrollment or college entrance examinations is not innovation skills related to patents.
2. The patent subsidy you mentioned should be for each utility model patent. There are generally two types of subsidies: one is a reward given by each unit to encourage employees of the unit, such as a school; the other is a patent subsidy given by the local government to enterprises and residents in their jurisdiction to apply for patents.