One apartment was robbed in my building, they also tried to break into mine but couldnt, my door damaged. Is it legal to break my lease?

Usually a lease promises to allow you what is called "quiet enjoyment" meaning the you should be able to occupy the unit, and live your life.  If security is an issue, and the landlord has failed to address that issue, you can break your lease because the landlord has failed to provide quiet enjoyment.  If your door is damaged, and as a result, could be easier to break into, the landlord has to fix it or the landlord is violating the lease.