My thought for #1 was Echinocactus Grusonii but the color and shape caused me to hesitate. All that English fog must have caused it to be pale.
They all look like they are doing well. The Parodia are always good indicators of light quality. They wiggle and bend in new directions in a matter of days (I've had them fall right out of pots) but the fact that your new growth is bigger is good.
Daisy
