"At end of turn" is a trigger condition that occurs in the end phase after the "At the beginning of end phase" trigger condition and priority sequence, and it is followed by a priority sequence. If you use Reflect's ability to recover a resonator during this priority sequence, the delayed automatic ability to recover the resonator will not happen until the end phase of the following turn.
This card is a valid target for any spell or ability that would deal damage to a J-ruler or alter the ATK/DEF of a J-ruler. Since this card has no ATK/DEF, no damage will be dealt to it by these spells or abilities, and effects that would alter its ATK/DEF have no visible effect.
You cannot choose this card to be an attacking or blocking J-ruler.
The total cost of a card within its free cost (such as "Charm of the Princess") is the attribute cost plus the value chosen for X while that card is on the chase. Ex: If you use the second ability of this card and target a "Charm of the Princess" with a chosen X of 3, you must remove 5 magic counters from this card as part of the cost to play the ability.