4. 听到这个消息,他难受得不得了,恨不得一下子【让他】向我赔礼道歉。
It is only right in the context when the one feels frustrated are not the one forced to apologize, or it will be ambiguous for readers.
7. 我喜欢旅行,向往着明年【的】北京旅游。
8. 那家饭馆【的】环境很不好,顾客们说话有埋怨【的】口气。
10. 中秋节,全家团圆在一起,妈妈【无比高兴】。
When you feel extremely excited, it cannot be 【more】 extremely. So is in Chinese. As a result, 多了 is unnecessary.
If you'd like to use 多了, you can say 媽媽高興多了 to emphasize a state change is completed after the family reunion.