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There are a lot of different ways this can be done, but here's my first suggestion:  Folks who make web pages are faced with almost the same problem on a daily basis, and Adobe has come up with the "Slice" tool to help them out:

https://helpx.adobe.com/photoshop/using/slicing-web-pages.html

For more info on the slice tool, including videos, just Google {photoshop slice tool tutorial}.

With respect to re-sizing, one very simple option, but which only is useful in some situations, is to set up the slice tool in "fixed size" mode so that all slices start out life exactly 1080 px wide or tall.   However, if you have to slice up the image on the basis of content, not size,  you just use the conventional methods to resize an image, remembering, of course, that detail is lost in all resizing operations and it's much worse to up-rez than to down-rez.

HTH,

Tom M