She looks like a white GSD to me
but I am no expert
I would say, to curb the pooping, don't let her out of your sight. Since you know she sneaks away, tether her to you so she can't go off by herself and praise praise praise when she poos outside!!
Find the valuable "treat" and start some training
I personally make mine work for everything, like sits, before eating, or getting a collar on. That kind of thing. Crate train for sure
list any other particular issues and I'm sure others could help more with advice!
Commander Charly Titan (GSD)-15 Jan 2010