You can have an answer which is both creative and original or creative and intelligible or other permutations of the above. I would recommend a simple approach where people can just mark the answer as either of the three or a combination of the three depending upon they feel and the corresponding counters are updated per answer to give a total score.
I would say yelp does this really well as shown in the screenshot below
With regards to your question,
Should I also have a like button to mark when an answer is particularly interesting to the evaluator or is it already implied as it is?
I am not really sure what you mean here, are you asking for a way for the user to favorite a question. Then I would recommend using something like a favorite icon or you could take a leaf out of Yelp's book and bookmark it or even do it as stack exchange does
