First pic - root, like you said.
Bottom pic - Spike. I can almost guarantee it.
You're right, at first Phals can seem very confusing when they start shooting out new whatevers. But it's quite easy to tell the difference when you've grown them long enough. Roots are always blunt, and spikes are always...well, spiked. And then a small glove shape appears as it emerges a little more. The root that's growing from an unusual place isn't really that unusual, as it looks like the leaves below have about had it and it's ready to start living its life above them.