Hi,
I try to answer but maybe someone can help you better.
AUC represents the fitting of your model. Basically, the higher the AUC, the better your model (beware of overfitting, though).
AICc combines the information about the fitting of the model with the number of parameters included. The best model is the one with the lowest AICc. In your plot, you have the deltaAICc. In this case, the model with deltaAICc = 0 is the model with the lowest AICc, and thus the “best” model (according to this parameter).
If you need to choose a model based on one of these parameters, I suggest you to use the AICc, and to use the AUC only as a measure of how your model is able to discriminate between presences and background points. However, you should also compare the different models in order to see if they actually are different in their predictions (e.g. by the D statistics).
Hope this could help.
Luca Gregnanin