New Game+ Guide:
Tested the New Game+ with an old save. Got 11 points on first save and 12 on another (points dependent of game progress and achievements of last save) to spend on various things after answering the starting questions.
The Carry-Over Menu
The list, in order, is: Strength (All Stats besides Wisdom), Wit (Wisdom Stat and Skill Points), Trusted Family, Naughty Sister, Money, Companion LV, and Indomitable Body.
The second to last choice is 'Redo', letting you reinput your choices, while the last one is the choice to not carry over points.
Point Total
You have a pool of points equal to your progress in game, as well as various achievements made in game, but only for the highest amount of points reached for any saves made in 1.4 and after. In other words, load your furthest, best save from before the update, pass a day, and then resave the game, either in the same slot or a different one (but not in the first slot, which is autosave). If you start a new game, you will go through the usual questions before reaching the above menu with a pool of points equal to your save's progress. Even if you save later with a less progressed save, only the largest pool of points is remembered whenever you start a new game. You should have around 10 or so if you've finished the main storyline.
Point Allocation
You can put up to five points in all choices except Indomitable Body, which simply gives the ability once chosen.
Strength (強さ): Each point gives 30 to all stats but Wisdom.
Wit (賢さ): Each point gives 40 to Wisdom and 40 Skill Points.
Trusted Family (信頼できる家族): Each point gives 50 to Sister's Trust and 2 to Guild Reputation.
Naughty Sister (えっちな妹): Each point gives 50 to Sister's Interest and 20 to her Lust.
Money (所持金): Each point gives 10,000 in money.
Companion LV (仲間のLV): Each point raises Companion LV by 15 (120 power each for Kana, 90 power each for Yui, likely a retroactively boost for Kasumi as well)
Indomitable Body (不屈の肉体): Can only have one point assigned and gives the 'Healing' ability next to 'Cooking', +10 to max actions points, as well as the combat skills: Atk Up, Def Up, and Auto-Heal.
Hope this helps guide anyone wanting to start a New Game+.