Did you happen to look at the Deck Guides section of the wiki?
For AW/FAW, that hasn't changed. For the most points multi-hitters are key, but for take-down, simply using turn skippers, buffers, and dmg/crit card will work.
Your current deck looks like it should be able to handle FAW just fine, but if you have a turn skipper with a decent proc-rate, maybe add one in to give your buffers time to set up. Also, current FAW only have 1 "clear" skill, so don't use all your buffer skills at once. Try to save one or 2 in case she clears you, then you should be good to go at her again.
For LAW, you'll generally want to rely on stronger alliance members to help out until you get a reliable deck. Current LAW have not changed their skill setup in quite a long time. Generally the support skills you'll need are debuffers (to handle the Hammer skill) or turn skippers to prevent her from doing anything. Next would be buffers and multihitters (preferably a GLR one with an "awoken burst" custom skill).
For Tower events, those live on 2 main skills, turn skippers, and multi hitters.