Small lawn – dying – small holes seen

I have a tiny patch of lawn (6m2)- over the last few months it has started to die off (about 30%) in patches and there are lots of little holes in the soil. Tonight i went out the back and i see tons of slugs – small little brown slugs on the parts of the grass left. Are these the problem – is this common – how do I fix it and reseed? ThanksPhoto attached showing about 5 slugs in a 10 inch square area (taken at night).