So a week ago my Nozels on the hood and the rear windshield stopped spraying completely. I get a few small mists but it's definitely not working, I'm assuming there is a pump that has failed for this? And yes the fluid tank is topped off. Only 10k miles on the car.

 

Take it to the dealer and let them sort it out. I'm sure it has enough fluid in the tank.

 

Yep, 2013......full warranty, take to the dealer and they'll fix or replace for free.
At the point of having warranty there is no real reason to be trying to fix it yourself, let MINI pamper you some!

 

If you feel like doing it yourself, it is very easy! I just replaced the pump on mine last weekend.

Take off the driver side front tire,

There were four clips I removed and carefully peeled back the inner fender well,

Once there, the pump is clearly visible.

All you have to do is carefully pull it up and out of the tank. (Its held in place by a rubber seal.) Remove the wire harness and two rubber hoses and swap out with new pump! Then work backwards putting it all back. Simple as that!

I purchased my part on Pelicanparts.com the week before for close to $30 and it took me literally 20 minutes to complete the job. In my case there was junk in the tank so I drained it out and replaced with new fluid. Works great now!

 

Just wanted to add,

Prior to removing the four clips(the little plastic push clips with the phillips head centers) I also removed the two round access covers. Not sure if that is required but it only takes a second. Just turn them counter-clockwise and they will pop out. Just by removing the bottom one will grant you access to the pump (visually at least.) Not sure you could swap it out through that little hole.

 

If you've polished/waxed your car since you bought it, it's possible the outlets are partially plugged.

 

I have had this happening a couple of times before... Turns out there was air in the system. To remove the air, I had to keep the washer button for the rear windshield ON until it sprayed water. It took about 15-20sec. Then the front washers would work perfectly and at full pressure.