Same as Keith for the connection. Whilst I have never tried to charge using the 12v lighter socket I have heard that it can cause problems so best go for the dedicated connector, the cables are normally supplied with the Ctek.
Once charged the unit goes into a battery maintenance mode, no idea how it works but it does, so no chance of overcharging or damaging the battery.
Have used the charger on my Morgan’s for the last 20 years and never had any problems.