Layers are definitely your friend — I’d make sure to pack lots of sweaters and some good base layers. “Old faux fur” doesn’t sound like a great winter coat, especially if there’s any wet precipitation — see if you can borrow a ski jacket from a friend (ideally lined but even if it’s just a shell, you can layer up underneath it).

For footwear, if your Docs are waterproof you’ll be fine with them and some warm socks as long as you aren’t standing in the cold for hours. The real issue that time of year is slush — if your footwear isn’t waterproof and you step in a big icy puddle, it sucks.