Hi Antheia
It sounds like an infection to me. The reason that the puss is coming out of the eye is:-
You have a small tube that connects the ear to the back of the throat (Eustation Tube). You also have a tube that connects the eye to the back of the nose (can’t remember the name of it). These tube exits are quite close to each other . The infection in the ear is probably under a little pressure. So therefore the puss travelling down the Eustation Tube could quite easily travel up the tube that I can’t remember the name of and end up coming out of the eye.
I think seeing an ENT would be a good idea.