The good news is that babies don't normally get throat infections. There is something about the size of their tonsils that keeps them safe from strep infections. He could have a cold or allergies...and hopefully you don't have anything more than a bad cold.
Use saline and a bulb syringe a couple of times a day to clear his boogers. Steam up the shower a couple of times a day to loosen the congestion.
Call the doctor's office in the morning, talk to/leave a message for the nurse and ask if they want you to bring him in...or if he develops a fever at what temperature they want to see you. If he has never been sick before, they may want to see him before giving a recommendation for Tylenol or Motrin dosing.
Keep yourself WELL hydrated with water, non-caffeinated teas with honey--I like peppermint, eat easy to digest things (chicken soup/broth, yogurt, crackers, applesauce).
Continuing to breastfeed is the best thing for your baby right now. It can be taxing on your system. Be aware that OTC cold medications can adversely affect your milk supply. Antihistamines can dry you up.
I still remember the first time my baby and I were sick at the same time. We had a stomach virus...I was on the commode, barfing in the toilet while the baby barfed on me...lol.