Can we legally be evicted in 3 days or can we sue them for tresspassing?

Yes, your parents can begin an eviction action by giving you a 3 day notice to leave for violating the terms of the lease. Do you have a written lease? If you do not leave, they can then file the eviction action. If you don't have a written lease, and it is an oral month-to-month lease, then it might be difficult for them to say you violated a lease term. So then they would give you a 30 day notice to terminate the month-to-month lease. You can find a local landlord-tenant attorney here on Avvo at the Find a Lawyer tab.

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This question is hard to answer without more information. What is the agreement between you and your parents? Is it written? Do you pay rent? If so, you may be entitled to more than a 3 day notice for these type of violations. If you don't pay rent, they can definitely serve a 3 day notice. For the type of violations you mention, you could be entitled to a right to cure. In any event, Ohio law does not allow a 3 day notice to be served by text message.

You should always contact an attorney for further advice.