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Pitcher plants are VERY picky about their environment. Some are easier to grow then others, but most will do fine in a household.

Even with this, there are still many things to learn about these plants before taking on one of these.

First, it needs a very specific "soil". Often, what it comes in is not necessarily the best. They will want a mixture of long sphagnum moss and perlite. Since they do not take nutrition through their roots, these media must not ever contain nutrients, nor should they be fed in this fashion.

Keep these moist at all times, and never let them dry out. This will be the most likely cause of a lack of pitchers. The next leading cause will be a lack of humidity.

You can kickstart the growth by mixing a 1/4 solution of orchid fertilizer into water and spraying the plant with these. They will take in nutrients through leaves, and pitchers, so once they develop pitchers, this will no longer be necessary.

This article will offer other good tips for keeping these alive: https://www.gardeningknowhow.com/houseplants/pitcher-plants/hanging-pitcher-plants.htm

They are hardy to zone 7. This means that they will survive a winter down to 0F. The top of the plant will die off well before this, but the roots will go dormant and survive well below freezing.

They will usually prefer to be sopping wet, similar to a bog, but during the winter dormancy, they will like it to be moist but not saturated as they would during summer.

This article will give you more information on the care of these:

https://www.gardeningknowhow.com/houseplants/pitcher-plants/growing-cobra-lily-plants.htm

Yellowing could be due to water issues, disease, pests or nutrient levels.
These articles can help you make the necessary changes in care.
https://www.gardeningknowhow.com/houseplants/pitcher-plants/pitcher-plant-fertilizer.htm
https://www.gardeningknowhow.com/houseplants/pitcher-plants/watering-pitcher-plants.htm
https://www.gardeningknowhow.com/houseplants/pitcher-plants/growing-pitcher-plants.htm
This article will help you with snails.
https://www.gardeningknowhow.com/plant-problems/pests/insects/organic-snail-control.htm

It is physically impossible for a pitcher plant to respond in such a way. Can you provide a photo? It is likely that you have come across an unopened pitcher, but I couldn't be sure without a photo.

Without pictures I would be unable to identify the plant. If you did not specifically order a cultivar, then most likely it is Nepenthes alata. The most commonly sold variety. It is the easiest, and least picky pitcher to own, but it still requires quite a bit of care. Make sure the temperatures don't get below fifty degrees. This will damage the plant. They do well in a very humid bathroom with a low wattage led lamp on them. Spray them daily with water. I have many species of pitcher plants. Most of very difficult to care for. They are not sold unless you are specifically looking for them. With alata, though, the care can be done by even those with little knowledge of the plant.

Here is an article that will help: https://www.gardeningknowhow.com/houseplants/pitcher-plants/growing-pitcher-plants.htm

This article will help you.

https://www.gardeningknowhow.com/houseplants/pitcher-plants/pitcher-plant-yellow-or-brown.htm