How should I plan a trip to NYC if I wanna visit a couple places in few days?

You can actually visit all of these in one day, but I suggest not to. All are within travel distances from each other. The train rides to each of these destinations are about 30 minutes.

I've been to each of these locations and believe me, one day is not enough. Maybe 2 for each day.

You can find other suggestions in NYC here

http://www.webwashed.com/2011/08/top-5-best-vacation-getaways-for-couples/

= places to visit;

* Statue of Liberty
* Empire State Building
* Central Park - check what parts you want to see as it is massive!
* Times Square
* Where the twin towers were and the 9/11 museum (well worth visiting) Century 21 is right by there as well which is a major department store and sell clothing and perfume/aftershave at very good prices.
* Wall Street and the Wall Street Bull

If you have time do a Broadway show

Yes You can double up on seeing these places or u can visit all in 1 day. grab a map... Im not familiar where the South Street Seaport is but the others are all down town besides The BK Bridge but U can catch a subway or cab damn near anywhere. Where are u staying?