Different search results.. WTF??

Hi guys,
i have several issue with search function with this theme.

I.e., when i try to find “iPhone”, in the dropdown the results are showed are correct, but when I press enter, the results is different by those showed before.
This is most crucial for me, i want to see the same results as those shown in the preview.

Other issue, when I try to search one code (SKU) and press ENTER, if another code start with the same value that I wrote, it is show me this on his product page.