Hey Chris,
The content of the pages is displayed in the language in which it has been inserted in the page editor mode; could you please clarify which part of the page do you have in mind in this case?
There is no back-end option to display the search form only on certain pages, yet you can use some additional CSS to hide it where you don’t need it:
.page:not(.home) #header-search,
.archive #header-search,
.category #header-search {
display: none !important;
}
Sincerely,
Andrii / Satori Studio