This depends on the reason why Emirates diverted the flight in the first place. If it was due to extraordinary circumstances (e.g., political instability in the destination country), then they may not be required to pay up. However, if the cause was a technical difficulty, then you may get reimbursement or compensation.

This depends on the voucher you received from the United Arab Emirates airline. For instance, if the vouchers were part of your right to care, then you should have no issues filing for Emirates compensation. That said, if you received travel vouchers, things might get rather complicated.

Your rights to Emirates delay compensation under EC 261 or UK 261 kick in whenever you experience a significant flight delay. If Emirates fails to bring you to your destination with less than a three-hour delay, you become entitled to compensation.

Emirates is legally obliged to notify you of any delay or cancellation, whether on departure day or prior. These can later be used for you to seek Emirates compensation.

The statute of limitation mainly depends on the European country where you landed and filed the compensation claim. For instance, if you went from Emirates United Kingdom to Dubai, you have about 6 years to file. On the other hand, if your flight departs from Italy, then you only have 2 years to file.