Hard ground very tedious to do lawns by hand, we made our own spike machine, old metal dirtbin (removed lid), 12cm long thick bolts into side walls of dirtbin, hollow pole center and filled with concrete, rope to pull with hollow metal handle to thread rope through it worked like a charm for years. (As per pic found online)
Roll across lawns help aerate then feed lawn when required with watering after spiking autumn and spring, afraid weeding is always by hand, no short cuts on offer there.
Garden is taking shape, have some cooler days to work now, enjoy!