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As long as your FlyTrap has enough light, don't worry too much about it not catching prey.
Those can be caught with Drosera or Pinguicula. (Hint, there's a Seed Bank here and we have seeds for those species, free for a self-addressed-stamped-envelope [SASE])
The ADMIN has posted some good care and feeding info here: www.flytrapcare.com
The tiny wormlike thing is probably a Fungus-Gnat larva, quite harmless.
The green is probably algae growing on your Sphagnum, you might want to cover it with a top dressing of silica sand.
Repotting should be done so that the white part of the plant is below the media level, the green or red part is above the media level.
Media should be peatmoss and perlite or peatmoss and sand, but avoid "Miracle Gro" brand products due to its added fertilizer.
Always remember the Big 4.
1) Lotsa, Lotsa, Lotsa, light
2) Very Pure Water! Rainwater, Distilled Water, Reverse-Osmosis Water, with TDS under 50ppm (total dissolved solids - parts per million)
3) Nutrient poor/Nutrient free acid growth medium like peatmoss/sand or peatmoss/perlite mixes. Some growers use long fiber sphagnum moss.
4) Respect dormancy with a season of lower temperatures, lower photoperiod, less water.
As always, just my 02¢ worth.