Hi,
1) She had arrived in Paris that morning, and she had a hospital appointment the next day.
2) She had arrived in Paris that morning, and she would has a hospital appointment the next day.
Which sentence is correct. A is correct.
For B, you have formed your words incorrectly. I think you mean 'she would have. . .' You could say this, but it is unlikely that you would. It would suggest that the event will happen in her future, and that you know but she doesn't. eg I met her last Monday. The next day, she would have a fatal accident, but as we spoke, she was happy about her plans for the future.
Best wishes, Clive