Authority is raised only when Mom punishes someone in public (at dinner or at breakfast). For Mom to punish Alice, you must choose days other than weekends and put cigarettes in Alice's room.
I don't understand why people want and think real friendship is possible. What in the original events did Eric do for Max when they had a friendship? At most let him watch him have sex with Anna. To Eric, Max is an unnecessary character. They couldn't have had a real friendship. Unless Eric had hit his head and gotten amnesia.
It's all there in my "fake friendship" story if you talk to Eric instead of turning him in to the Mafia. On the first page, the first spoiler shows where the animation is.
There's paid and there's free. But if you use free, then about the detected errors write the author of the mod, if you write in discord, then I banned you for using a third-party mod.
The game has no third-party mods and is not planned. Only the original story with the changed branches of Lisa and Olivia and my mods on the path of the fake friendship with Eric.
If the character does a lot of mischief, and if Eric's influence is high, then Max can be sent to the army. But if you got rid of Eric, or if you are on the path of fake friendship, then for now this score has no effect.
There is also a connection to Alice in the massage events, as Max hones his skills on her to give a good massage to Mama. Before you can successfully give a foot massage, you have to give a few successful massages to Alice when she watches TV in the evening. To give a successful back massage to Mama, you need to give a few successful massages to Alice when she's sunbathing by the pool.