Hello,
Wedge compression fractures are caused due to Osteoporosis or weakning of the bone. In your case due to chronic
kidney diasease you developed osteoporosis which weakens your bone. In severe osteoporosis, even an act as simple as sitting can cause you a fracture.
pain you are experiencing while moving around is due to the instability happening at fracture site, below L1, L1 nerve root comes that supplies your groin area which due to fracture gives you a radiating pain.
although other cause can be due to Hip for which will need xrays of Hips.
Next Steps
Consult an Orthopaedic Spine surgeon near you.