Should icons be the same width or height?
Consistency is key with icons, and all your icons should be the same size when you build them. First, you'll need to make sure that you know how your grid is built (multiple of 8 or 10?). From there, your base icon size should relate directly to that.
What size should you export icons?
Icons work best at the power of 8. So always try and make your icon sizes divisible by 8 — this depends on what grid you're using, if you're using a 10x10 grid then make icons divisible by 10. For best results keep icon sizes consistent with your font sizes.
What is an icon system?
Icons used systematically within a document to signal content about a particular theme, or content requiring a higher level of attention.