Water in oil filter

First of all your vehicle is a Hyundai not a Honda, right? Second, in the body of the post you mention that you found oil in the oil filter and I would say that is outstanding and just as it should be.

Was the moisture you found in the oil coolant or was it water? Water could be from condensation or some other problem. But coolant as in the stuff in the radiator indicates one of two problems. 1. A crack in the engine block that lets water in. This one is not as likely as the pressure of the oil is much higher than the coolant and you should really have oil in the coolant and radiator. 2. A leaky head gasket will allow coolant into the engine. If it leaks during times when the engine is running it will be exhausted as steam.

Watch the levels of the fluids closely.