If it (Medical Insurance)is done by the company then it is permissible. As for the credit card: If they are paying for it, this is permissible, but if you have to pay for it, you  shouldn’t use it if it is interest based.

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If this Muslim is exempted from fasting, this is permissible but one must not do that especially if this hurts the other Muslim feelings.

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This is not permissible, as each woman must have her mahram with her.

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It can be done in other months and it can be as little as a day or more.

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No, and why would you want to do such a thing?

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