GenerationE

No, They would not violate the conservation of Energy, for the same reason that electric monopoles don't. The field lines are circular for a dipole not a monopole. The acceleration in the the direction of a field, given that the field is not symmetrically radial will cause you to get off of the field lines. Even with a magnetic dipole it is impossible to move in the the same direction of the field lines forever because you would eventually hit the dipole.

Because amps equal C/sec so your definition would yeild C = C/s^2 which is wrong for obvious reasons. You probably meant why is it not defined as C = A * sec Well for starters you can't include the unit you are defining in your definition, and amperes have coulombs in them. And for historical reasons, Coulombs came before amps, in discovery and naming anyways.