If you could post some pictures, that would help others make a proper assessment and diagnosis of your situation.
If the spikes are still green, then you can just leave them alone. Sometimes they'll bloom again from a node lower down on the spike, or on rare occasions they'll even produce a keiki. Tho, I've never had anything but blooms on mine. It just depends on your preferences. As for me, I prefer to just trim off the spike(s) and let the plant focus on making bigger better blooms next season.
About the yellowing leaf, just cut away all of the yellowing part, cutting back into the healthy tissue to ensure that you get all of it and to prevent it from spreading. Then just use some regular ground cinnamon on the cut to seal it up. Ground cinnamon has some wonderful anti-bacterial and anti-fungal properties. I always make sure to have some on hand for when it's needed. On the other hand, it could also be the plant naturally shedding one of its lower leaves. It's difficult to tell exactly w/o any pictures to see for ourselves. Tho you did state that the yellowing part was mushy, which isn't good, and will most definitely have to be removed.
Well, I hope I've helped a little. Maybe some others will come along with some more advice too. Once again, if you could upload some pics, that would help.