Yes, there are lots of magical families all over the world. We are usually better at keeping it secret, but in this place nobody else seems to, so I decided it didn't matter. It must be horrid to forget things like that. I don't like it here very much, but I wouldn't want to just forget it.
Ah. That's sensible; the rats probably have diseases.
Miggy. Splendid. It depends what is wrong with the broomstick. Mine needs a new Braking Charm, so I have to look up how to perform the spellwork for that. The steering needs recalibration, and I have a kit to help with that. You attach it to the front of the broomstick and there's a dial to help show you whether your tweaks to the enchantment are working. I'm fortunate, really, that there wasn't much physical damage, because that's harder to repair without upsetting all the spellwork that's already there.