Based on the leaves and size, along with your description of the pitchers (green with red spots) and the fact it was bought in that plastic hanging pot, I'd say it's an N.gracilis.
My N.gracilis is a little bigger than yours. I grow mine indoors. It is 1' back from a N window under a 25W cool white fluorescent light. Like yours, mine is also quickly producing new leaves and, recently, flower spikes (6 in the past 3 months....and just when I cut one off, another appears). It is also pitchering like mad.
When I acquired mine, it stubbornly refused to pitcher for 3-4 months, even under fairly good lighting and humidity (60-70%). However, once it started, it never stopped. Give your plant some time to adjust to its new environment. I completely agree with the others that higher light and humidity would certainly help pitchering, but if it continues to be stubborn, just give it some time. You can artificially increase humidity around the plant by placing it on a larger tray of wet pebbles (make sure the plant is well above the water line....nepenthes do not like to be in waterlogged soil). Even better, you can buy a cheap warm-air humidifier online or from your local home depot....it will increase the humidity of the entire room and costs little ($30-50). To increase lighting, you can buy a 20-25W cool white compact fluorescent bulb and an appropriate fixture from home depot/lowes (all for ~$10-15). Place the plant ~4-6" below the bulb, and do not let the leaves touch the bulb as they will burn.
Your soil mix looks like a combination of cocofiber and peat. (Cocofiber has a stringy, fiberous consistency.) Make sure it isn't too compacted or the roots may gradually die. If you can't easily push your finger into it even when wet, it's probably too compacted and you should transplant it into a more loose mix.
Good luck with your plant.