A little nose down is fine. Maybe even preferable. Certainly better than nose up.
It’s fine, especially being it’s a single axle.
It would have towed fine before but been adding a bit more weight to the tongue (just a little).
Absorption fridges are typically up to 3deg and 6 deg out of level (you can look up which is which direction so you remember it) is fine. And you’re not even close to 6deg side to side on the fridge. (Presuming it’s on a side wall)
I say that presuming your 1-2” measurement is correct and/or your pic is representative of how it sits loaded on the ball weight bearing.
