K.P.
I 14 month old has decided as well that veggies are not for him so I have to trick him. He is at the point where he will only eat what he see us eat and then he thinks it must be good. I made beef stew and put carrotts, peas, corn, onions and such in there and because you simmer the stew so long the veggies get so soft and break up that it mixes with broth and almost is undetectable but they are in there, he loves it. I also do the same with baking chicken in the oven in cream of chicken soup then adding veggie and rice. Feed him when you eat and see if he watches you eat maybe he will do the same. You have to get creative and out think them.
Also good luck on number 2.