Probably seen as herecy on this forum but for 80 miles per week, do you really need a car?

I regularly commuted 7 miles to work and 7 miles home all year round on a bicycle. You don't get that many days when waterproofs are needed.

If it is just for 1 person and not much to carry, the cost savings and the health benefits far outweigh buying a car.

OP wants a car - since you don't know what the 80 miles consists of you've no idea if a bicycle is practical. In my case it wouldn't be possible, age and decrepitude forbid it!

I'd forget about the Matiz -- at that age and miles it's about at the end of the line.

I'd echo the comments about going Hyundai if you're interested in Korean bangers -- Hyundais have been nearly at the level of the Japanese for a long time in terms of reliability; Daewoos weren't terrible but the Matiz was never one of their best cars (the engines are prone to problems with the timing belt and head gaskets fail).

The Lanos isn't a bad car but again they don't really last very well. If it's cheap enough and in decent condition then they're OK, but then so is any other car.

If it were me, and if I'm reading your requirements correctly, I'd be looking at MK2 Micras. Other than a few problem areas (gummed-up throttle body, rust on the subframe and ensuring that the timing chain has been well lubricated -- in other words has the car been serviced properly) these are bulletproof.