The wooden Block from Blockade appears in the room, but the trap doesn't activate. The wraith explores the insides of the walls, careful to avoid entering the room and returns to report that it found no compartments inside of the walls.
Sending in Swarm after Swarm it seems the Blast of Flame trap can activate once per round. Given that the swarms last Concentration +2 rounds, and require a full round to summon, it is possible to send a second one inside of a single round.
When the second swarm goes in it springs the second trap. It seems the Bat swarm successfully resisted the second trap and suffered no ill effect, though the magical trap definitely activated.
Spoiler: Bat swarm will save
Show
(1d20+3)[21]
They're then vaporized by the Blast of Flame trap as it comes back online.