Is my emerging wisdom tooth likely to be what's causing my strange sinus issues at the moment?

For a little while I've been noticing my left upper wisdom tooth coming through. It hasn't caused me any major pain other than some sensitivity and minor discomfort until lately. For the past two days I've been spitting up phlegm in the morning that's specked with blood (I know that it isn't coming from my chest because I'm not coughing it up and I can feel it when sucking it down from my nose, as gross as that sounds). My nose isn't bleeding though, the mucus is clear when I blow my nose, it's just when I spit it out. At first I thought I had a cold, but I have no cold symptoms other than a slightly sore neck, my ears have been bugging me, and I've been having mild headaches in the region of my temples as well as my nose running on and off. I know that some of those symptoms are associated with wisdom teeth coming in, so I'm just wondering if the blood streaked phlegm could be due to a sinus infection or could possibly have something to do with my wisdom tooth affecting my sinuses?