i would definitely have to agree with Quig. first off, take into consideration your issues you are having now for the next time you build a cage. i try to make everything i build ( atleast out of wood)so that it can be taken apart to replace something if it has issues. if i use screen, i make sure the screen can be replaced, if i use glass or plexiglass i make sure it can be removed or replaced if neccessary.
the wood really should be treated by using a varnish or lacquer ( varnish will soak in better, but usually takes about 8 hours to dry) or painted with a high gloss oil based paint with multiple coats.
if you do these things the cage maintenance and longevity will be much better and easier for you. if these things can still be done, i would do them and put your animal in a quarentine tank so you can monitor the effects of your treatments easier as well.
finally, i would just like to note that if this is a recent animal that you have acquired, i would not suggest treating it until it is well acclimated and eating/drinking and in otherwise healthy looking appearance. if you try to treat an animal because the worms/parasites are having a negative affect on your animals health, you will likely do more harm than good by trying to treat it before it is eating and drinking well.