if anybody cares
the cable is okay, as long as the adaptor is original. if it isnt, you should check the numbers, if theyre same - everything is okay...
about li-ion battery... if it has an advanced power management or something like that stated in manual you can keep it plugged for ages, if it hasnt, it should have rest once a week (for at least several huors), cause as it is mobile, it is to be unplugged for some time while transporting, so it should rest "automatically"
and as far as i know li-ion batteryes have a pretty short lifetime - after 1.5 - 2 years it lasts for half time of the new battery, so dont panic

if after two years youll be able to work for one hour offline, instead of two