Beginner Gardening: Lawn has bare patches, 1 by Vadla

Vadla wrote:
So my Mum's lawn has patches of bare soil which I'd like to try fix up so I can learn something (I don't know much but am as willing to absorb as a sponge)

I've taken a couple pictures and would like advice on what I should do, as well as what type of grass she has.

It looks like there are 2 types of grass growing in the lawn, possibly couch and kikuyu? I don't know, should I aerate it and spread some seeds, and if so what type of seeds? Would appreciate any help or even a shove in the right direction!