I just wanna point out a concerning temp would be 104.0 and up 99 and 100 is not to much of a fever just the start of one and a sits bath as well as tylenol and cool cloth should beeak the very mild fever . the coughing and such depending on his age you could also try honey .. Also this is going to sound crazy but it realllllyyy works put vic on the bottom of the babies foot and put a sock on it will ease the cough .... Xoxox good luck dnt worry it will all be okay ... It sounds like your taking the right steps
My little one has a bad cold too, I've been running the humidifier with Vicks vapor stuff in it. Really has helped her a lot. I also put Vicks on her feet at night and the put footed pjs on her, helps her sleep better. Good luck! I hate seeing littles sick ☹️ so sad we can't just take it away for them.