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Was the locker broken into? Were there any signs saying your belongings were left at your own risk?
It sounds like an employee opened the locker. You can sue the hotel and there may be sufficient circumstantial evidence for the court to award in your favour.
Yes, you can claim for inconvenience, loss of enjoyment, and distress
The Hotel Proprietors Act 1956 only applies where the theft wasn't the fault of the hotel. In this case my understanding is that the hotel was at fault.