Cold, maybe bronchitis ? 36 weeks along

I got a sore throat last Monday and after a few days I developed a cough. It mostly acts up at night as do all my symptoms everytime I get sick. The cough is all day, very hoarse and wheezy, but more frequent when I’m going to sleep or waking up. There is phlegm as well that make my cough and throat 2 times worse. I am 36 weeks pregnant. It is currently 1:56 AM where we are and just curious if I should go to a ER to get it checked out? Or wait until tomorrow after work. I’ve been having a lot of Braxton Hicks contractions as well since about 10 PM tonight. Also I should mention my SO is also sick with the exact same symptoms.