I unfortunately miss the time and the capacity to do the rigging for you. We have no rigging service here, sorry. It would anyways be much more interesting to find out what goes wrong for you. Could you upload your distorted result?
My last idea was that you might have done some accidental posing beforehand. But there is nothing like that form what i can see.
Just to mention my workflow again:
First fix the armature. In Edit mode. BEFORE parenting.
Go to Pose Mode, select the whole armature. Hotkey A toggles between nothing and all.
Click at your mesh. Just the mesh should be selected.
Hold down Shift, click at the Armature. Both should be selected now.
Hotkey Ctrl P, and choose with automatic weights.
I have done it a dozen times now, and no distortions afterwards.