(1) By mandamus, suit, action or proceeding at law or in equity, to compel the authority and its members, officers, agents or employes to perform each and every term, provision and covenant contained in any bond or contract of the authority with or for the benefit of the obligee and to require the carrying out of any or all such covenants and agreements of the authority and the fulfillment of all duties imposed upon the authority by this subdivision.

(2) By proceeding in equity, to obtain an injunction against any acts or things which may be unlawful or the violation of any of the rights of the obligee.