A Note About the Daily Version of This Quest: This is a Super Repeating XP Boost Quest and should be repeated as many times as possible during an XP Boost weekend. Spend as many Daily Quest Tickets, as you can afford, during this time.
Instructions
All quest groups (diads or triads) start with the Main, non-repeatable quest, which unlocks the repeatable quests.
Almost, but not all, diad/triad repeatable quests can be performed and turned in at the same time. This is one that can.
Spoiler Alert! We have hidden this information so that you have the choice to try it on your own, or have the advantage of knowing how the sausage is made...
If you do a bunch of this quest, be advised the Carpenter's Tool Bag is not removed on turn-in, is given to you every time you start this quest, and does not stack. If you do not throw them away periodically, they will fill your inventory.
Daily Quests are repeatable up to a total (for all Daily Quests) of 10 times per day. The count can be reset to zero by purchasing and using a Daily Quest Ticket from the Item Shop (for 39 ($1.16)† ) or from any Phirius Merchant (for 780 ).
In all other zones they do not reward XP, TP or Gold, only Public Event Points. In all other aspects they are the same as a Daily Quest (except for the infinitely repeatable part and the rewards). Public Event Points contribute towards the completion of Regional Quest objectives, which in turn rewards a number of Energy of Justice commensurate with your amount of participation in the Regional event.
Daily Quest Tickets, as you can afford, during this time.
Carpenter's Tool Bag to get 
Rotten Board ×6 from Splintered Wood
($1.16)† ) or from any Phirius Merchant (for 780
).
Dual-Function Daily Quest Potion.
Old Bag (hence the common sobriquet, Bag Quests). In Redhill Mountains, each repetition of [67][Public] Freedom Fighters rewards an 
Ancient Memento.