My Ignorance of my Phalaenopsis orchid

[Glenford]

I would like to know how to care for a Phalaenopsis orchid that my wife got for Mother's Day. When got it there were 2x about 18" spikes with 8 & 10 white flowers on them. Watered them with 3 ice cubes every Sunday. Flowers dropped off after a month or so. The media is wood chips. One spike died back about 6 inches & the brown portion is still attached. It had 3 leaves when it arrived and it now has 7. Leaves appear to be healthy...nice and green. It's in a clear glass bowl about 8" high & about 8" in diameter. Lots of questions: Do I cut the spikes off? Do I change the bowl? Is the watering technique ok? Will it bloom again? What should I do next?