404 error in search pagination

I have 2 mistakes in Betheme standart pre-built theme on search result pages.

1) pagination https://lotsve.com/?s=oral&mfn_livesearch&searchpage - if you click on pagination, then any page will return 404 https://lotsve.com/page/2/?s=oral&mfn_livesearch&searchpage

2) The search page template does not display whether a product is in stock or not, as on catalog pages