Your technique with burpees is probably wrong with you over aching your back or bending forward to quickly.
You will need a physiotherapist assessment to find the structure injured and they would give you treatment for that issue. Get them to also assess your technique.
Next Steps
currently use icing for inflammation with towel wrapping for 15 minutes 3 times per day for 3 days
Health Tips
take breaks every 40 minutes with sitting