Why don't you pay an attorney for a consultation?
Review ALL police/court records with him/her.
Even though things may have been dismissed, you may need to disclose them.
PROFESSOR OF IMMIGRATION LAW for over 10 years -- This blog posting is offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.
It would be worth your time and money to consult with an immigration attorney. If you fail to disclose relevant information on the N-400, USCIS could say that you lack the good moral character necessary for naturalization.
Hugo Valverde's response to your question is general in nature, as not all the facts are known to him. You should retain an attorney experienced in immigration law to review all the facts in your case in order to receive advice specific to your case. Mr. Valverde's statement above does not create an attorney/client relationship and does not constitute legal advice.