Help with NYC itinerary for 8 day stay

I will be in NYC for 8 days in September with the boyfriend and would like some advice about the itinerary I have come up with.

We are from Australia and this will be the first time in NYC for both of us. We will be traveling to Hawaii and Vegas before heading to NYC.

Day 1

-Arrive at 8 in the morning at JFK

-Plan to take a taxi to St Marks Hotel, East Village

-Walk around East Village in the afternoon, slowly moving towards Greenwich Village

-Dinner at The Little Owl

-Go to Top of the Rock after dinner for night view of NYC

Day 2

-Head to Ellis Island and do SOL in the morning

-In the afternoon, take the subway to Brooklyn and then do the Brooklyn Bridge Walk

-Quick dinner before going to Phantom of the Opera

-Drinks after broadway (any recommendations of where we can go)

Day 3

- Shopping around 5th Avenue, Macy%26#39;s, Bloomingdales, Sacs, etc

- Lunch at Gordon Ramsay%26#39;s Maze

- Shopping in Soho

- Maybe a Jazz bar at night or any other recommendations would be welcome

Day 4

- Start the day with a museum, MET or MOMA (can%26#39;t decided)

- Lunch either at Moderne or Rooftop Garden at MET depending on where we go.

- Walk around Central Park.

- Head to Museum of Natural History

Day 5

- In the morning, visit Grand Central Station and Financial District, Wall St.

- More shopping in the afternoon (or should we check out Harlem?)

Day 6

- Day at Woodburry Common

Day 7

- There is supposed to be the Broadway on Broadway Concert in the morning/afternoon.

- Not sure what to do with the rest of the day.

There still appears to be a fair bit of open spots in my itinerary. I am open to suggestions. Also we are in our mid 20s and would like recommendations on bars and nightspots which are easy to get into in NYC.