Difference between 继续 and 接着
Both of "接着" and "继续" can mean "to continue"(of course,either of them has other meanings), in this case, I would say "接着" must have an infinitive while "继续" may not have. Examples:


  现在太晚了，明天再接着写吧。  Right  It's too late now. [I suggest you]continue to write tomorrow.
  现在太晚了，明天再继续写吧。  Right It's too late now. [I suggest you]continue to write tomorrow.
  现在太晚了，明天再继续吧。   Right It's too late now. [I suggest you]continue tomorrow.
  现在太晚了，明天再接着吧。   Wrong