Last time I replaced the rear brake cable on a Tern Link I used a long length of standard "Clarks" stainless steel brake cable, inner and outer as the orignal cables had corroded badly, it usually comes with a tip compatible with shimano on one end and an alternative system on the other end, make sure you keep the end that's compatible with your brake levers.
I also replaced the V-brake noodles, but in the past I've gotten away with cleaning them with pipe cleaners and bit of PTFE lube. Also, have a plentiful supply of cable ties, medium sized, as they seem to be used everywhere on the bike.