Going to need a simple reliable drill for some handyman work around the house just light weight stuff mostly installing locks on doors and assembling furniture.
What is the recommended cordless drill to buy these days.
Otherwise might just go with the best reviewed bunnings drill at a low price point.
For installing locks and assembling furniture a cordless drill or driver would have too much torque and you'd end up damaging the screw head or the piece you are trying to drill into.
Foe the jobs you have listed go for a cordless (screw)driver instead. They usually come in 3.6, 7.2 and 12v models.