What are the dimensions of the complete kit with the carrying/storage case?

The optional carrying case adds very little, if any, to the overall dimensions of the complete spare tire kit.

The carrying or storage case may add ¼ inch to the width of the kits.

The dimensions of each kit will vary depending on the car model. The tallest spare is 29" and the smallest is 25". The width of the spare is constant at 6" or less.  The product page specific to your vehicle will have the overall diameter listed in the bullet point list of features.