I'm doing lagrangian mechanics and trying to understand my notes, are these three statements correct:

1. If kinetic energy is quadratic then energy equals generalised energy.

2. Saying kinetic energy of a system is quadratic is the same as saying none of the position vectors in a system depend explicitly on time.

3. A lagrangian can be independent of time (generalised energy is conserved) even if kinetic energy is not quadratic (energy DOESN'T equal generalised energy)