Yes, reinstatement or getting your old job back is a remedy for Unfair Dismissal. Whether you can get reinstated to your former position depends on the facts of your case. You must be reinstated to either the same position or if that position is no longer available, another position with terms no less favourable.
In Blackadder v Ramsey Butchering Services Pty Ltd (2005) 215 ALR 87 the employee was reinstated but the employer insisted on making the employee undergo a medical examination, the employee refused. The court held that the employee should be reinstated to a position with terms no less favourable and requiring a medical examination before returning to work was considered less favourable.