You are asking about prices. What kind of prices?
So it should be:
2)For the last one year, house prices rose 20%.
rose because its in the past. Also it might be better to say:
2)For the last year, house prices rose 20%.
because one would be generally understood without saying it.
1) is incorrect because house modifies prices. houses makes no sense as a modifier or possessive in this case.
3) and 4) are incorrect. You could say:
3)For the last one year, the houses' prices rose 20%.
...prices of more than one house.
4)For the last one year, the house's price rose 20%.
...price (singular) of one house.