Two councillors at Uttlesford District Council are joining Reform UK.
The Care Quality Commission says there are nine breaches of regulations at Swan Care Home.
The traditional skills at risk of dying out because so few people practise them.
Tobin, who died in hospital aged 76, was cremated after no-one came forward to claim his body.
Tobin was serving three life terms for the murders of Angelika Kluk, Vicky Hamilton and Dinah McNicol.
Tobin was only unmasked after his final victim was found hidden under the floorboards of a church.
Tobin was transferred from HMP Edinburgh to the city's Royal Infirmary after becoming unwell.