1.Does he have a headache?No,he hasn't.疑问助词does+动词原形
2.Did he clean his shoes?No,he didn't.注意时态,原句用的是cleaned(clened写错了吧?),所以应该提起的疑问助词是did,
3.What's wrong with him?肯定回答-He has a headache,否定回答只能说,he's fine,he's all right.
4.when did he clean his shoes?肯定回答-He cleaned his shoes this morning 否定回答No,he didn't clean his shoes.