I find that most of these relationships are two sided. Meaning that the rabbit wouldn't be as neurotic were there not a relationship dynamic that fostered that neuroticism.

I think the queen enjoys the power of distance, but it's unlikely that she is different and not equal to the rest -- and more likely that she has pretenses based on her desire for power and dominion over others. Circumstances just happen to align in such a way that reinforce this delusion of hers, because people don't want to suffer punishment. "OFF WITH HER HEAD!" and all of that.

As far as whether or not Alice is boring, what makes you categorize her as boring?