Whats wrong with my grass

I got turf laid about two years ago. It looks half dead and bare and not as green. I am an amateur gardener and understand that grass needs to be looked after.
Things ive noted- ground is quite compact and doesnt seem very deep. Theres mossy stuff in patches and this year lots of weeds such as dandelions, thistles, daisies, buttercup have appeared.
I have a small electric mower
which i use on the setting to not cut too short. But i noticed the last year not much growth at all and we get plenty of rain here.
Lawn measures about 12 x 12 feet so not very large but i would like some tips on what to do to maintain it and repair. Ive attached some photos.
Things ive noted- ground is quite compact and doesnt seem very deep. Theres mossy stuff in patches and this year lots of weeds such as dandelions, thistles, daisies, buttercup have appeared.
I have a small electric mower

Lawn measures about 12 x 12 feet so not very large but i would like some tips on what to do to maintain it and repair. Ive attached some photos.
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Is that to rake loose moss etc?
Also should i put down more lawn seed or give it a chance to 'come back'