Just an update on our plans, our friend will be lending us her apartment for the week. Yay! More savings for shopping LOL!

Kaya lang her apartment is at Jersey City but okay na rin since laking tipid namin. Plus her place is about a mile from the nearest PATH train station (Journal Square).
@ junetwentythree, it's actually my second time in NY but the first time doesn't count since it was way back in highschool when we did a whirlwind visit. So parang first time visitors kami ulit this trip

I made a rough itinerary of places my sister and I would like to visit and would appreciate any comments all you ladies can give.

Day 1 Arrive at Penn Station and go to NJ. Nothing much to do here since Amtrak arrives at 6PM.
Day 2 Take PATH train to World Trade Center (end station). Made reservations already for 1030H.
Subway to Chelsea Market for lunch. Or can we walk it? Any interesting places along the way?
Subway to Majestic Theater to watch Phantom of the Opera at 2PM. Can we walk from Chelsea Market to the theater? Any interesting places along the way? Or better to subway it na lang?
Walk around Times Square
Day 3 Liberty Island. Take the ferry from NJ side and get off at NY side.
MoMA / other museums after
Lunch at Papaya King (is this near any of the museums we're going to)
Empire State bldg at sunset 5-6PM
Dinner with friends
Day 4 Top of the Rock
Museum of Natural History
Lunch at Shake Shack
Central Park. Any interesting things to see/do that we shouldn't miss here?
Dinner with friends at Serendipity
Day 5 Woodbury Outlet shopping!
We prefer our visit to be relaxed lang. I'm not into zipping from one place to the other so we just chose what we wanted to see and do. Would the above IT be enough to do all the things I listed or bitin-bitin? Is there any other worth it place to see for a "first time" NY visitor?
About the transpo, is it cheaper to get the unlimited 7 day Metrocard as against the pay-as-you-ride refillable Metrocard? I read somewhere that the latter can also be used with the PATH train, tama ba?
Thanks again for your inputs!