Yes, it will fit. The later ALH+ motors won't fit without more serious modding. IMO, I would go with a AHU if you can find it, it has a few improvements over the 1z.
It will even fit into the mk1 cars but the pass side motor mount is different.
I think all the motor mounts are pretty much a bolt on affair, you need the ecu and wiring harness, the various sensors and pedal cluster, axles, it would be best if you had a donor car that has been hit in the rear.
You won't save much if any money on a swap, I would just buy an older mk3 car instead of swapping it unless you have some other reason why you want to keep the older car.