Hello, it's commonly seen that Gym goers experience back pain due to weight lifts. You need to visit Physiotherapist for detailed evaluation of your spine. You will get guidance on how to workout in the Gym., and what exercises to be performed for receiving back pain. No it's not true what your trainers says about fat and back pain. Please take professional advice.
And for redness in eye, visit ophthalmologist.
Next Steps
Visit Physiotherapist
Health Tips
Maintain good seating posture