Hi,
Best practice/performance
Both 1) and 2) are good, usually people prefer 2), as they expect redirection after hitting the return button. The performance should be almost exactly the same.
How to display images on the left site if use redirect
ex: https://videopenny.net/?s=singielka
After the redirection, the layout is printed by the theme, the plugin has no control over it. The only way is to edit the corresponding theme file (usually search.php) to change the image position.