The Acts that you quote generally enable you to a 14 day cooling off period. So unless you decided you 'never wanted it' within the 14 period of the time you signed up as apparently wanting it, then there is nothing doing for you on that score.
Both Acts come under the auspices of the FSA. If you have a complaint that the contracts were not set out according to the requirements of the ACT, complain to them.
Bt the way, what is the link between 'purchasing a training course' and 'timeshare'?