Am I paraplegic?

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Yes, hypotenuse, this site lists your level under "paraplegia".
calder.med.miami.edu/providers/NURSING/parap.html

OVERVIEW: FUNCTIONAL OUTCOMES: PARAPLEGIA
...

L1 - L3 Injuries
Loss of most motor function of the legs and pelvis, and loss of sensation in lower abdomen and legs
Retention of knee jerk reflex
No loss of respiratory function
Loss of bowel and bladder control
All T1-T12 capabilities

L3 - L4 Injuries
Loss of motor and sensory function in portions of the lower legs, ankles, and feet
No loss of respiratory function
Loss of bowel and bladder control
May achieve walking with braces

L4 - S5 Injuries
* Degree of motor function varies: Hip abduction and internal rotation, ankle dorsiflexion, and foot inversion possible in L4 - S1; foot eversion in L5-S1; knee flexion in L4-S2; plantar flexion and ankle jerk in S1-S2; bowel/bladder control in S2-S5
* Sensory function in portions of lower leg: medial aspects of the foot in L5; lateral aspects of the foot in S1; posterior aspects of the calf/thigh in S2
* No loss of respiratory function; may or may not have bowel/bladder control
* Can walk with braces and live relatively independently

While I'm not the one with an SCI, my son took almost 18 months before the full effect of his spinal injury became apparent, he has almost full feeling in his legs with a couple of exceptions, such as the big toe on his left foot and his right ankle, but with ZERO movement.