I would say if these 2 are that bad they need to go. You will be amazed at how good you feel once they are gone. As far as throwing food I squeeze the child's hand and in a firm voice say no. It didn't take long for my youngest to stop doing it. If she isn't getting it then take everything away and just make her sit there until everyone else is done.

In my house too if a child is sick then they go home. It should not be you getting the child from pre-school it should be mom. If the child says they are sick at pre-school tell the teacher to phone mom for pick up.