The Phal abuse ends here.

[orchid-recruit]

You would know a rotten root. They are not dried out, but slimy, stringy and falling apart because they are decomposing. You can try repotting it like Talila6 said, but it could be suffering from crown rot, where it is rotting where water could be pooling where the leaves begin. The dew/sap that you are referring to could be scales. They look like barnacles and the dew is a sure sign. You might lose this one, but chalk it up to experience. However, sometimes their will to live is surprising!