The spots on the leaves are definitely fungal. Some folks swear by Neem--it's a natural extract and more environmentally friendly than some other things, but for it be really effective, you have to repeat the treatments pretty often. You might want to check into something like Orthonex or Immunox, both of which are systemic fungicides and insectides in one. They get absorbed into the plant and do their work from the inside. Or, if you don't mind the whitish residue that stays on the leaves, Daconil is a fungicide that works great as well. Just remember to do all of your spraying outside....
I'd be willing to bet that, when you unpot the plant, the roots coming out of those two yellowing canes will be pretty much dead: the plant is using the energy and nutrients it has stored in the canes to generate that new growth that's coming out, since it can't absorb any nutrients from dead roots. The sphagnum the plant looks like it's potted in is staying too wet down in the middle and it isn't allowing any air to dry the roots out between waterings. This isn't uncommon, but you'd do well to repot the plant as soon as possible in a good quality mix, or just straight bark. Now would be a good time, too, while the new growth is still small, before it starts sending out its own root system.
At this point, I would leave the old yellowing canes attached instead of cutting them off when you repot. They're not done doing what they need to do to get that new growth "on its feet" and, if you remove them, you might be delaying the new growth's development.
Otherwise, the plant still looks healthy enough to rebloom for you in the next five or so months....