Assistant Chief Constable Steve Cotterill said "please do not see these two arrests as the police inquiry coming to an end" and appealed to the public for additional information.
He said: "I need additional information from the public out there to really get to the truth to what was the reason behind that fire - whilst I know the cause I do not know the reason behind it and I'm still anxious for that information to come forward."
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The video, obtained by ITV News, shows scores of migrants desperately trying to board lorries in a restricted area within the tunnel.
Ex-Spitfire pilot Allan Scott, 94, said he was told off by the Queen when he first met her in 1943 when she was just 16.
Last minute preparations are going on at the Church of St Mary Magdalene where Princess Charlotte will be christened.