Final answer:
The condition with erythematous papules and severe nighttime itching is caused by Sarcoptes scabiei, the parasite responsible for scabies.
Step-by-step explanation:
The insect responsible for the condition described, with erythematous papules in the interdigital spaces and severe itching at night, is 2) Sarcoptes scabiei. This parasite causes scabies, which is known for symptoms such as intense itching, especially at night, and the formation of erythematous papules. Phthirus pubis is responsible for pubic lice, Pediculus humanus for head lice and body lice, and Borrelia burgdorferi is a bacterium that causes Lyme disease, none of which match the symptoms described.