Battery and charging station must be purchased separately. I have not tested the water hose, I bought the appliance because there is no connection nearby. The manufacturer's website should be able to help.

The thing has its own water tank. If you want to connect an external tap, I would probably choose a different appliance that also has more pressure. This appliance here is designed for people who don't have a water connection nearby.

Battery and charging station are not included. See the description under Scope of delivery.

Yes, hose can be connected. Device can also be easily disconnected from the water tank and operated with hose without water tank

No, the battery and charging station are not included. You can connect a water connection. This is all included in the "Scope of delivery".