Nice stuff.
The cartoon shot on the right actually looks more washed out to me though?
Be careful when trying to colour match to that cartoon sequence, it has a flickering fire so the rabbit's fur is intentionally changing colour from frame to frame, so matching that sequence will need to be eyeballed as every frame will be different due to the light from the 'fire'.
One has to be careful not to lose the dynamics in the scenes as well, although the colour is better in the shot with the girls, it looks flatter as the intentional shadowing has been washed out a bit by the process. Many scenes will intentionally have hard contrast or unbalanced histograms (like sunsets, firesides, and scenes shot to convey a certain mood), so always keep the look that the shot should have in mind. I try not to rely on histograms for anything other than checking clipping. Scenes that are designed to convey mood may look terribly under or overexposed if you just look at levels, but are that way due to artistic choice.
Steve Hullfish has a good book for anyone starting out as a colorist, The Art and Technique of Digital Color Correction, it is well worth buying for anyone interested in learning how to do primary and secondary colour correction and has a good section from actual colourists and jobs they have worked on. Well worth a look.
I am recompressing now, hopefully you guys will be able to polish it up into something great.