Do you think hundreds of millions of malnourished children would suddenly have food in their mouths?
Yes.Because part of the problem is that the distribution system is broken.It is broken because the system is inefficient.It is inefficient 'cause it is corrupt.If you reduce to a level where it is not an acceptable thing for the society,it would be far easier to deal with all other problems you talked about. Don't confuse the effects of corruption and incompetence
No.There are states like kerala where all of the above problems have been solved in past.(ie Malnutrition,food security,education etc) They pretty much have the same education system and political system like rest of India,just that society is less tolerant to mass corruption and mismanagement.So issue number one is corruption and the value system that tolerates it.