Steven Davies, 57, of Slade Road in Birmingham, and Dolores Gnapi, 34, of Tariff Crescent in Lewisham, London, were charged with aggravated burglary and criminal damage.
Ian Roberts, 51, of McDougall Road in Wednesbury, West Midlands, was also charged with assault of an emergency worker.
Police said no staff at the premises had been injured during the incident.
CTPSE said on Monday it had taken the lead for the investigation and was working closely with the Hampshire force as inquiries continue.