As far as I can tell, there are no shorts between ground and +ve in the Fritzing sketch MODEL (the nets). However, I think the problem is in the copper fill (ground fill). Here is a snapshot from a section of your pcb showing only the bottom layer. Notice that the 3rd pin, which is VE, is connected to copper fill, but so is the 2nd pin, which is gnd.
Here is a snapshot of the same area, after I removed all copper fill, explicitly set the ground seed to be (only) pin 2 of the part, and did copper fill bottom. Notice that there is now a keep out area around the trace highlighted before, and the pin 3 connector is not connected to the copper fill anymore.
I suspect you managed to set a bad group of ground fill seeds before doing the ground fill. At least on the bottom. I did not check the top, after spotting this on the bottom.
Fritzing really should have reported this, either as part of the Design Rules Check, or when setting the ground fill seeds.
This is something that should have been fairly easy to spot, by using a Gerber viewer on the export before sending it off to be manufactured.
EDIT: Late thought. Did you perhaps add more traces after doing the ground fill? Fill should be the last step. If you need to make changes, remove the fill, do the changes, reapply the fill.