Need some advice if possible?

As you all know Matteo was sick a couple of weeks ago and was really not eating much food for a few days, only drinking his formula for the most part but sometimes he was vomiting as his nose and chest congestion left him coughing and then gagging....anyhow of course his sleep changed, and went back to feeding him a nightly bottle just to make sure he was not dehydrated etc....so now he is better and we have slowly been getting back to our previous routines but not really.... He is sleeping better through the night but now he seems to be gagging with his food....almost as if he forgot how to eat...he was still on pureed foods but I was thickening things so that he could continue to transition...he has continued to vomit so I am now back to very think pureed foods, simpler and less food etc....that seems to be working, but he is also teething and when he is not gnawing away at a teething ring, he is shoving his entire hand in his mouth and this too is making him gag and then throw up...I am beside myself with the vomiting....at least 2 times a day...sometimes a little sometimes a lot...right now it seems to be the hand that's the problem and if I don't have my eye on him to make sure he has a teething ring instead....he sometimes brings up his food....again this might just been while he is teething etc...and then the being ill etc...I was at my doctor's on Wed. for another of Matteo's vaccines and the doctor isn't worried, normal gag reflex for a child...and in Matteo's case, transitioning from a very bad cold, transitioning his food, teething, and maybe some reactions to the vaccine...but am worried about his hand in his mouth!!....so a rough few days for him and for me who can handle all the other bodily fluids much more easily than I am handling the vomiting....as my nephew says, the others are mostly contained, the vomiting is free flowing and can involve clothes changing, to rug cleaning, to much more...and I am tired!!......