Here is my try.

Go there and don't come back (Go there, and don't return)
Пойди туда, и не вернись.
I use Пойди and вернись since this is not a routine thing.

She went to the store to buy milk and pies.
Она поехала в магазине чтобы купить молоко и пироги.
Went is past tense. I used поехала since ехала impies she routinely went to the store. Also поехать/ехать implies that she driving or taking the bus, but NOT walking.

Give me your house or I will steal your dog!
Дай мне свой дом, или я украду свою собаку!