Welcome to healthcare Magic!
your problem is quite mysterious, yellow discoloration of conjunctiva
is known to occur in jaundice
but you bilirubin
if found to be normal, it can occur in antimalarial drug Mepacrine
therapy but this drug is not used these days, it can be in hypothyroidism
and hypercarotenemia as well or due to abnormal pigmentation due to drug or injury.
A local physical examination by an ophthalmologist will provide valuable inputs to the diagnosis.
You should not be panicked, the disease seems a local problem and not a life threatening one.
I hope the advise would be informative and useful for you.