The condition where stimuli that are normally not painful elicit pain is specifically termed allodynia. This occurs because the nervous system has become hypersensitive.
It's helpful to understand the different terms related to pain perception:
Based on the definition provided in the question, allodynia is the correct medical term for normally innocuous stimuli producing pain.
A 30-year old male was being evaluated for paraparesis. On examination, there was severe muscle atrophy, with absent deep tendon reflexes and absent Babinski sign. The most likely possibility is: