Hello,
Please post only 1 question in 1 topic. Thanks in advance.
1/ I do not see the problem with the search – https://gyazo.com/b8e0e003ffe43c0d64ab77c2a173a508 Please clear all cache (browser, plugin) and check then. Do you have any browser extensions that may affect the functionality of sites?
2/ Add the next code in Theme Options > Theme custom CSS > Custom CSS for mobile:
.et-content_toggle .et-mini-content.active, .et-off-canvas .et-mini-content.active {
max-width: 100%;
width: 100%;
}
Regards