That stuff is normal. The key is being prepared during the job interview to candidly and honestly explain your perception of what happened. Even if you were fired, it's far better to admit it and explain what you learned from the experience, than it is to lie about it and run the risk of getting caught. People make mistakes, especially during the early years of a career. We learn and grow as a result of those experiences.
Employers can understand that far more readily than they can ever understand or tolerate dishonesty.