Do they have distro beyond cons? I admit one of the things that gave me pause was reading the blog, seeing a lot of emphasis on cons and other varieties of self-promotion--some of which can work, and which are good techniques, particularly for self-publishers--and no mention of distribution or other rights.
Do they distribute widely to bookstores and libraries? Preferably through a distributor? They say initial print-runs are 1-2.5K, which seems low for having distribution, but how much of a problem this is can depend on what connections the press has.
Do they market the books, beyond cons? A lot of the founders and initial authors seem to be connected through Tolkien fandom, which is fine and potentially a good community, but it's not marketing to booksellers. Even if distro is on the small side, the house should be putting in some marketing direct to bookstores, it should have a catalogue, it should be sending out ARCs to reputable publications both in the trade and in the arts media--but I don't see any of those sort of reviews (or even blurbs) on the books they've published.
How are royalty rates calculated? The site doesn't say, which is fine, but it looks like the house doesn't pay an advance so it's
very important to figure out how you're getting compensated as an author, here. The house is started by someone who self-published, which is fine, but the house needs to be offering more than "put it on Amazon and set up POD" to its authors in exchange for whatever cut of royalties it is taking.
Just some questions to ask. Of any publisher, really.
I'd also like to know how the "Chapter 1" service thing works.
https://www.lunapresspublishing.com/chapterone
If there's any cross-over there between authors who also have to pay for what appears to simply be converting a Word doc into epub... that's very, very bad. Not saying that's what's happening, just that when publishers offer these services it is very important to have them separated from the submissions stream. Likewise, there shouldn't be referrals between rejected authors and the house's own editors.
There are other questions that services page raises, too, including why there are typos on it.