Thank you for your query.
At present, the UK is not out of Europe, the EU law still applies. At present, there is an increase in EEA applications in Ireland which is causing delays. I would suggest that you write to the Irish authorities for an update.
You have not stated why your spouse visa was refused twice, but I am assuming it was because of the financial requirement not being met.
You state that you want to come under the carers allowance route. I am presuming that your wife is caring for someone in the UK.
To meet this requirement, I suggest that you read the following guidance from the Home Office:
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