I seem to recall, that even IBM had to get permission, from whoever owns the rights to Star Trek, to use the word "Warp". I would expect that "Warp", "OS/2", "OS2" and all variations, would be difficult, at best. Even e/OS2, or ES/2, could be pushing the limits. IBM does not allow Arca Noae to use those terms. Of course, if it is completely new, not based at all, on what IBM owns (partly in partnership with Microsoft, which seems to be the biggest problem), the name could be less of a factor.
Be careful how you do, and describe, your development. The OS/2 license specifically prohibits reverse engineering of the code. You need to use publicly available documentation to determine how it all works, and lot of that is out of date, incomplete, or missing. I will note, that Arca Noae (and possibly the US government) has permission to do reverse engineering, so they can patch, and distribute, whatever they can figure out.
One thing, that IBM has, is an army of lawyers, which they don't use as often as one might expect, but if they decide to go after you, you will lose (at best, you won't be able to pay a lawyer enough to even begin to defend you). Best to take all possible steps to avoid that.