Wow, tough conditions.  
......
The puppy is cute and the composition is nice for the look.  I don't care for the uneven background lighting or the shadow cast from the puppy onto the background. 
Interesting.  I didn't have a problem with the uneven background as much as with the shadow.  I shot with a flash, and bounced it with a better bounce card arrangement.  What are your suggestions for eliminating that shadow, absent studio lighting and using flash only?  Is it even possible?  I tried to shoot without the flash, and bump up the ISO, but I couldn't get enough shutter speed, and the pups were moving too fast.  
As you can tell, I'm in deep learning mode......