Disciplinary or legal issues on your high school record can be navigated a variety of ways. These past infractions — we're talking suspension, not just detention — can be used as an opportunity to show that you are responsible and mature if you treat the issue with transparency in your college application. Acknowledging these mistakes on your own is the best route to take — hiding a past infraction from an admissions officer is not a great choice when the information will only show up on your high school transcript later on, meaning they'll see it whether you choose to disclose the information or not.
With that said, don't think of it as an automatic detractor on your application. Instead, think of how you can frame it in a way that showcases who you are now rather than who you were then.