The problems in primary and secondary schools are not serious, especially in high schools and universities, which will become hidden dangers. So you should decide as soon as possible whether to unify your name or apply to the police station to add a previous name, which will be good for you in the future.
So, it's okay to write your current name, but the best way is to apply to the police station to add a previous name (that is, the name you are using now). So no matter what, there won't be a big problem.