Depends on how conservative they are and which of the guides they follow. There's over a 1000 supplementary books that people ascribe to that explain the Quran. I'm sure at least one of them covers other sources of alcohol. But if they only follow the Quran and a more literal interpretation then these would be fine.

Mead and rum to name two. Fermented honey and fermented sugarcane juice.

Well depending on your take. Any alcohol not made from fruits or grains are okay.

Bad interpretation.

You have to seal quick dry clays for them to be waterproof or use an oil based one but none of them are really recommended for drinking. Especially if you plan on drinking any caustic like alcohol. The only way to really do it is with firing it to harden the clay and then glazing it and firing it again. Skulls really don't do well in a kiln. Bone becomes really brittle and even more porous when exposed to high heat that doesn't burn it.

I believe they want a woman to win in that category but it has to be deserved not just given to them because they are a woman.

What does that have to do with it? There's nothing that says you can't use a tune if the times don't match.

Of course not being proficient at violence doesn't mean you can't be violent, your just not as efficient in your undertakings of said violence. A baby can be really violent but not accomplish much cause they're a baby, whereas a fully trained Seal can be less violent and yet still cause more harm. But @guest_ is right the proposition is faulty.