My unemployment benefits have been pending for 5 weeks

I am just wanting to check all avenues. I was terminated for interviewing with another law firm on my own time after work hours (how they found out I do not know), but the policy manual states seeking employment elsewhere is grounds for termination--I was looking because several co-workers were leaving and/or being terminated making for an unpleasant and uneasy work environment. The law firm also alleged I had viewed Facebook during work hours and the "mole" who monitor's the computers stated per their policy manual you cannot view Facebook. I have copies of both policy manuals given to me and there is absolutely nothing in either manual regarding viewing Facebook--only to limit personal use of computer (which I was very respectful of). If I am denied unemployment based on this information---can I proceed with a lawsuit against this law firm for wrongful termination?