Disagreeing to Tenzin Namgyal. Both the order of Injunction as well as Stay Order are passed against the party (i.e. petitioner or respondent), and never addressed to the Court (even in appeal), as court is not the party.
Disagreeing valentine thakkar as well, as Stay is NOT used for internal movement and proceedings within the court, but stay the execution of an Order (administrative/ executive order or judicial order) till final disposal of the case in hand of a court.
Both Stay and Injunctions can be granted on administrative or executive orders. But injunctions are never granted on any judicial order.
Stay is towards execution of an order (executive or judicial order). Injunction is not related to any order but to command a party for certain specific performance.