If the type of divorce was a khul'i divorce, you are able to return during the 'iddah period, but with a new marriage contract. This means you will need to perform a nikah ceremony, along with its requirements.
That is the fiqhi answer, but of course it would be highly recommended for both sides to contemplate on what led to the initial divorce, and how healthy it is to rush back in so quickly. Establishing boundaries, putting conditions and understanding what needs to improve on both sides is extremely necessary in order to eliminate previous problems and happily live together.
Whenever the period starts, fasting is finished and not valid. She can eat and drink whenever she needs but it is not good to eat or drink in front of fasting persons or children who don't understand why she is not fasting.
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