Wrongful termination declared by unemployment office should I seek further legal action?

I was recently terminated from my employer for reasons that I felt were not justifiable, so I claimed unemployment and after hearing my case the unemloyment office ruled in my favor stating exactly this-
The employer discharged the claimant for violating a company rule. The employer failed to
establish negligence or willful disregard of the rule on the part of the claimant. Ohio's legal standard that determines if a discharge is without just cause is whether the claimant's acts, omissions, or course of conduct were such that an ordinary person would find the discharge not justifiable. After a review of the
facts, this agency finds that the claimant was discharged without just cause under Section
4141.29(D)(2)(a),Ohio Revised Code.
Just as it says same as I thought they let me go without just cause, now I'm sure there is more you want to know but in short my question is should I seek legal action for wrongful termination or lost wages for the difference between what I am recieving unemployment wise and what my normal income would be if still employed, I am not malicious but what they did to me was wrong and I feel as thoe no one should walk away from treating there employees in that manner with nothing more than a slap on the hand.