Your heart rate can increase with a cold, allergies, sinuses etc. You are probably breathing more rapidly due to the nasal part of the cold, and that will increase your heart rate. You may feel your PVC/PAC's more during this time as well. Be sure you get a lot of rest. Drinking a lot of fluids may increase your BP some, but you need fluids to help get you through the cold. Hope you feel better soon.
Happily I rarely get a "cold" or other virus.... but I agree it could raise the HR. Please don't jump to worry, give it time and even with a HR up to 110 I don't consider that a big worry in the short term... say a week or two. I have suffered from AFib for 20 years treat only with "rate control" mainly beta blocker. I rarely measure my HR but will guess as i sit here typing it is at least 80. Good luck.