Yes I think it's a pretty normal stage. At times like this I always lower my expectations and hold them closer.

So if I would just assume I couldn't cuddle her whole putting ds to sleep and in fact I went through that with dd so we used to walk every day at the same time so ds could sleep (double pram).

I would put things up high again for a while (or in a cupboard in the case of the laundry, or in a closed room)

I would actually try to find a consequence related to the issue, and act immediately (like your play centre example). For us it is sitting on the floor, ie if you hit mummy you get plonked on the floor with a stern no! ( think breastfeeding baby who starts biting). My kids then usually whinge so I immediately say 'do you want to come back up?' And they nod so I say 'show me gentle hands' and they stroke my hand and come back up.

I think you have to be careful about punishment like no tv because its pretty abstract for a child of that age.