I was wrongly accused of a crime and the court dismissed the case, even after the appeal. Can I now take action against the person who made the false accusations? Should I file a civil or criminal case?

Yes, you can file a civil case for defamation against the person who made the false accusation. This is because the false accusations damaged your reputation and caused you harm. You can also file a criminal case if the accusation was made with malicious intent and aimed to harm you.