If a support order entitled to recognition under this chapter has not been issued, a responding tribunal of this state with personal jurisdiction over the parties may issue a support order if: 
 The tribunal may issue a temporary child-support order if the tribunal determines that such an order is appropriate and the individual ordered to pay is: 
 A presumed father of the child; 
 Petitioning to have his paternity adjudicated; 
 Upon finding, after notice and opportunity to be heard, that an obligor owes a duty of support, the tribunal shall issue a support order directed to the obligor and may issue other orders pursuant to Section 93-25-305.