Should I see a doctor?

My mom keeps telling me I should see a doctor but I wasn’t sure if this warranted a that. Anyways I work with young children and last weekend I got the normal scratchy throat and stopped up/runny nose that comes along with quick weather and season changes. I also started coughing and I normally get coughing fits but water and cough drops normally help but they haven’t been lately. It recently got worse on Wednesday and I’ve been coughing so bad to the point where I’m gagging and haven’t been able to sleep well due to it. I’ve been taking cough medicine every 4 hours and when I was at work I kept 2 to 3 cough drops in my mouth at a time. I don’t currently even have a doctor due to the fact that I just aged out of the pediatrician last year and I’m moving so I was waiting until then to find a new doctor. Should I go or is this something I just need to sweat off?