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旅游期间不住小姑子家自己订酒店。

-Do you travel with the tour group sponsored by the tour company or your sister in law invited you to visit her?

If your sister in law invited you, then you need to put her address as your temporary resident address dring visiting even if you do not plan to live in her home. If your travel is sponsored by the tour company, then put the hotel address. 

我们夫妇一起申请被批准的概率会比我一人申请大吗？

-I don't think so.

他并不想去要照顾老人。