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For the word processor, I'd suggest LyX from lyx.org, which in fact I generally suggest to everyone anyway. It's Free Software, in the repo of almost every distro, full GUI, uses LaTeX as a back end as a default but can save stuff as .txt, RTF, HTML and PDF with no problems and as other formats like docx fairly well.
I haven't tried doing Hebrew in it, but everything I know about it suggests it's easy. https://wiki.lyx.org/LyX/HebrewOnLinux gives instructions for setting LyX up for Hebrew in various distros, while http://www.ma.huji.ac.il/~sameti/tex/lyxhebrew.html (about using it on Windows rather than GNU/Linux), seems to suggest that it's easy to switch between English and Hebrew in the same document.
There's a bit of a learning curve with LyX, but once you get past the initial unfamiliarity it's a very powerful, user-friendly, well-documented tool.