Yes, Samsung Gear Fit2 Pro does come with the charger and a charging dock.
Yes, Samsung Gear Fit2 Pro does have the heart rate monitor.
Yes, you can. Samsung Gear Fit2 Pro has 4GB internal memory and you can store as many as 500 songs.
Yes, you can receive text and even can respond from the watch with some pre-programmed responses. You can see the call alerts but you will require either Bluetooth headset or the actual phone to talk. There is no speaker or mic in this band.
Yes, Samsung Gear Fit2 Pro does have the move like feature, which you will find extremely useful. It will remind you every 55 minutes of inactivity.