Do I have a wrongful dismissal suite against my former employer

I was fired for sexual harassment on Friday October 22, 2010. I was asked to come into work on my scheduled day off to help out at an office I had managed until the earlier that week. I had recently steped down from my position as Phlebotomy Supervisor over 30 satellite offices. All direct employee's to me were women. I went in to work as requested by the person now doing my job and worked with an employee who had worked for me for two and a half years. I worked with her for 3 hours and during this time had lots of conversation. We knew each other well and I spoke as I always would in her presents. Around 4:30pm after the other employee had gone home, I recieved a call from Human Resourses asking me questions about some of the conversations I had with this female. I answered him and told him yes we had said these things. He told me to remain there until he could get there because I was being terminated for sexual harassment. I was floored! Now they are fighting me on my unemployment benifits and I just had my appeal hearing today and find out that the HR person who fired me was fired the next week for sexual harassment as well. I did not make any rude or curde statements to this female and I am being put through this by a company I worked very hard for and would like to know if I have any recourse.