What, if any, problems will I have if I start to pluck my facial hair?

Please don't suggest that I should just shave or make snide comments that include the terms "gay" or "" because thats not the eff-ing question. I have mild eczema and am extremely active so when I get sweaty my skin gets irritated easily; especially around my mouth when the hairs grow out. On top of that, I'm half Mexican and half Korean which means the Lord thought it would be funny and made it impossible for me to grow hair on the side of my face and right below my lips(the Korean side) and when it does grow, its ungodly thick (the Mexican side). By the end of the day it looks like I've been trying to grow a goatee.