-- finished his work ,he had to stay at home at the weekend.

应该选C吧!
一看就是考查非谓语中现在分词的否定式,就是在含有-ing形式的单词前面加上not。
Having not中not的位置明显是错误的,not应该放在having的前面。
而且句子主语he和非谓语动词finish之间为主动关系。而having finished也表示主动。