1. Does the green fits its surrounds well. From my perspective, knowing the size of the dunes at Birkdale, it seems absurd to suggest that a green like the 17th (or something in hat vein) doesn't fit.
It depend on what you include in "its surrounds"...
If you mean the area within a 100-yard radius of the center of the green then it is fairly well integrated into the bowl in which it resides.
If you mean Royal Birkdale Golf Club then it sticks out just as surely as would an eight foot high plateau green on a dead-flat course.
P.S. Having read Michael's comment let me add that I too thoroughly enjoyed the 5-10 minutes spent on that green. I was playing with an American visitor who is a member at Crystal Downs and we joked that after seventeen holes he finally found a green he could feel at home on. I actually had a less favorable impression of Royal Birkdale than Mike or most others. For what it is, I think it's an outstanding course. But I've played courses that offer a much more fun and exciting round of golf for my game. A course with eighteen greens like this year's seventeenth would be a big improvement when it comes to my enjoyment but that doesn't mean that I approve of sticking it in as the next-to-last green on a course built to a totally different set of criteria.
I guess in my personal course evaluation criteria (for any course which aspires to "greatness" at least) I come to some conclusion about what a course is trying to be and then judge it in terms of how well it executes that intention. I think I grok what Royal Birkdale is all about and I think the current seventeenth green is a negative in terms of the course being true to itself.