1. Dear Cagri, in strict point of law, you can get a Permanent Residence card. This is because you can be up to 450 days out of the UK during the five years which count towards your permanent residency. So, it does not matter that all of these were at one time, over a year time. HOwever, be aware that if you come to apply for citizenship, you will have to show you were tax resident in the UK FOR THE five year period which counts towards citizenship. The tricky thing is not getting the Permanent Residence card, but qualifying for citizenship if you have prolonged absences. Be aware that absences, such as working abroad for a British firm, don't count as absences from the UK. Similarly, if you merely went on holidays, this would not count as an absence, so long as it was of short duration. Be aware that you cannot be more than 90 days out of the UK in the final year before you apply for citizenship. So, if you intend applying for UK citizenship, you cannot have such prolonged absences.
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3. Yes, you can still get UK permanent residency so long as your cumulative total of days outside the UK in the last five years has not exceeded 450 days. Be aware additionally, that Ireland is part of the same free movement zone as the UK since 1922, so absences in Ireland will not be noticed as there is no border post.