Sounds like your boy is suffering from a upper respiratory tract
infection(URI), most probably due to virus.
Watery eyes are common in URI and unless his eyes are red or has discharge you can wait and start your treatment for cold
. If it is not coming down (ina week) then he needs an antibiotic eyedrops under an eye doctors supervision.
Since he is too young, do take him to his pediatrician
where he can assess him and start him on antibiotics if needed. He needs a good sleep but wake him up for his feeding as he needs the nutrition to overcome his illness and he must be kept well hydrated.
Hope he gets well soon.