A: NO. The 11-1568 manual explicitly lists only Lead-Acid, AGM, and Gel. Lithium requires a different absorption voltage (14.6V constant). Using this charger will destroy a Lithium battery.
The original dedicates an entire page to safety. Do not ignore these: Motomaster Battery Charger 11-1568 Manual
A: Partially. The 11-1603 is the "Eliminator Intelligent" 15A model. The button layout differs. Stick to the 11-1568 guide above. Motomaster Battery Charger 11-1568 Manual
Microprocessor control manages the charging stages, moving from bulk charging to a "Maintain Mode" once full capacity is reached. Motomaster Battery Charger 11-1568 Manual