The new Allagan set of items needs to have a small customization option.

[Galactimus]

Also, you have to clear T5 to run T6, every single week.

False. Beating Twintania for the first time complete's the quest ""Alisaie's Pledge." Completing that quest once is the only requirement for entering the "The Second Coil." It's not a repeatable quest so there's no reason why you'd have to complete it again each week. You also enter "The Second Coil" from a completely different npc; this time in North Shroud.