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To answer your question, no you should not get a lawyer. In your case, they will not get you anymore than you are receiving. People get lawyer to fight a case where they are not getting severance pay or the termination pay.
Look at it on the good side, at least you're eligible for EI while you look for another job. Also, if your future employer ask why you were dismissed, you have prove you didn't do anything wrong. Take it as a sign that it's time to move on.
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