In American English the Simple Past can be used with already, just and yet but in British English, it´s a little bit different.
I have already given her the present.
I´ve just seen her.
Have you heard the news yet ?
I already gave her the present.
I just saw her.
Did you heard the news yet ?
Have x Have got x Do
In British English it´s possible to use Have got or Have to express the idea of possession. In American English it´s normal to use more DO in questions.
They have got two computers.
Have you got a computer ?
They have / have got two computers.
Do you have a computer ?
Next time, we are going to see more about British and American English.
See you !