Sparks are glowing blue orbs that you collect as you play through the Play Sets. They help level up your characters.
Spins are used for a chance to randomly unlock one of the sixteen different toys or toy packs at a time. You can also shuffle the Vault to get a new set of toys to spin for. Spins can be collected from green capsules, completing Mastery Adventures, leveling up your character, and earning medals in Character and other Adventures.
Complete Missions to earn Stars, which then build up the Hall of Heroes. Stars also grant you Spins, which can be used in the Toy Box Vault to collect more toys!