According to the Conjuration Magic rules (emphasis mine)
Summoning: a summoning spell instantly brings a creature or object to a place you designate. When the spell ends or is dispelled, a summoned creature is instantly sent back to where it came from, but a summoned object is not sent back unless the spell description specifically indicates this. A summoned creature also goes away if it is killed or if its hit points drop to 0 or lower, but it is not really dead. It takes 24 hours for the creature to reform, during which time it can't be summoned again.
However, when you Summon a creature, you do not Summon a particular creature, but rather a manifestation of that creature
Conjuration: Each conjuration spell belongs to one of five subschools. Conjurations transport creatures from another plane of existence to your plane (calling); create objects or effects on the spot (creation); heal (healing); bring manifestations of objects, creatures, or forms of energy to you (summoning); or transport creatures or objects over great distances (teleportation). Creatures you conjure usually- but not always- obey your commands
Does this mean that the 24-hour timer on death of a creature applies to:
- A given creature (I can't summon the same Celestial Eagle twice in one day if the first one dies)
- A given type of creature (I can't summon any more Celestial Eagles after the first one dies)
- A given type of summon (I can't cast Summon Creature I twice in one day, if the first one dies)?
In both of the latter options, how does this rule interact with the secondary effects of high-level Summon Creature such as Summon Creature II?
This spell functions like summon monster I, except that you can summon one creature from the 2nd-level list or 1d3 creatures of the same kind from the 1st-level list.
My table has always played in a pretty unrestricted format in the regards to this, resulting in what is effectively the first option. We never consider a summoned creature to have any memory of previous events, and we allow the same type of summoned creature to be summoned repeatedly.