What type of shore power are you plugged into? Is it 30a? Or a regular household outlet?
RV (amonia absorption) fridges don't work anything like a household fridge and they take alot longer to cool. A rough rule of thumb is 1 degree per hour. Use a thermometer instead gauging the coldness by feel.
For the stove and water heater - are you SURE you have propane and that it's on all the way?
Reference the water pump, there should be a switch somewhere inside your camper to turn on the pump. Likely it's next to the sink and it probably will have a red light that lights up in one position to indicate that your pump is getting power.
You could hook your camper up to your regular/home water spigot to make sure water CAN flow into your new camper. You wouldn't need the pump for that.
Just a few ideas. I'm sure others will have LOADS more good ones.
