Welcome to HealthcareMagic forum .
Your child seems to have a upper respiratory tract
infection most probably bacterial which might not resolve on its own and will need specific antibiotic treatment.
The eye discharge is due to the nasal congestion
as the eyes have puncta ( open connection with the nasal cavity
Since you have already tried all OTC products its best to consult a pediatrician
for a thorough evaluation and confirmation of diagnosis . Accordingly the doctor may then start appropriate treatment like antibiotics ( Cefixime , azithromycin
etc) and antiinflammatory drugs along with mucolytics for relief of symptoms.
Meanwhile do give your child plenty of fluids and a nutritious diet which help in faster recovery.
Steam inhalations thrice daily will help too.
Wishing your child a speedy recovery.