1. Dear Louise, you can get an Irish passport, based on your father being an Irishman who was born in Ireland. So too can your children obtain Irish passports. Your husband, if you have children, can apply under the Zambrano ruling of the European Court of Justice to live in Ireland or Britain as he is the father of an EU citizen child. This is how he would get the right to live and work in Ireland. However, it is essential that you have children and that you get Irish passports for them. The children can get them as they have an Irish citizen grandfather.
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3. Once a deportation order has been executed, then it is spent. YOur partner can apply on a separate fresh ground, such as the fact he has EU citizen children. So your husband should make a fresh application to Ireland. As circumstances change, the decision on the visa will be different. It is true that Ireland and Great Britain pool visa applications. HOwever, so long as he has the correct grounds, he can get a visa.