Basically everyone wants someone else to take a chance on you to provide social proof. Consider tracking down a well-regarded writer and commissioning something?
Precisely, tell writers your raodmap so a trust bond can be created between you (as a publisher) and writer. Do you agree?
Writers will beat your door down if you do that much.
Providing proof that this is legitimate is pretty necessary.
Don't get me wrong, I like the concept, and would be interested in writing for you to get my name out there, but as others note, losing control of our work is a huge fear - if we as writers willingly submit our work into a black hole, that's it.
Including more biographical information on the website about yourself and any editors making acquisition decisions would help. You don't need to have industry cred already (though that helps), but writers like to know that (a) you're not a publisher/editor known not to pay, has a bad rep, etc. and (b) that you're a real person. It's also very helpful to know how long the magazine is funded for when it's not yet established -- so you have confidence that if you submit and are selected, it won't go under before you get paid.
Also, you should include what the publication format is, what specific rights you'd be buying, whether they're exclusive, etc. You say "first English publication rights" -- I'm assuming you mean exclusive First English Language serial rights? Print or digital? Or would it be nonexclusive? Are audio rights exclusive or nonexclusive? If you have a template contract you plan to use, you could link to it.
You have an expected response time, which is great; consider also including time to payment/publication. If you have formatting guidelines/preferences (i.e. standard manuscript format like Vonda McIntyre's), include those.
You can take a look at the guidelines/sites of established short fiction magazines to see what best practices are -- i.e. Asimov's, Clarkesworld, Analog, Magazine of Fantasy & Science Fiction, Strange Horizons, Daily Science Fiction, etc.
Hope that helps! Always exciting to see more short fiction markets!
Yet that's a terribly sad page. No theming, no brand, no idea at all about who's running this thing.
Spend fifty bucks and get yourself a logo at least. Show that you care about your identity.
With a photo. And personal contact details. And some idea of the kinds of fiction you like.
There are plenty of publishing sites, but they all have an angle. There's no point submitting certain kinds of stories to certain sites because they don't fit their niche. (E.g. Strange Horizons doesn't do space opera.)
It would be useful if you worked out what your angle is, so authors understand it. Just having an angle would make you seem more like someone with a genuine interest in fiction.
Don't link to LinkedIn. Most authors won't be interested.
Include payment terms ("on acceptance", "on publication", "30 days after publication", etc.)
Make a few purchases and get yourself on the SFWA approved market list:
http://www.sfwa.org/about/join-us/sfwa-membership-requiremen...
When you have all of that, consider soliciting material on writer forums.
You'll get so much keeping up will be a full time job, and at least 90% of it will be - not so great.
Welcome to publishing...
I'm not the only writer with an experience being ripped off by a prospective publisher. Again, while I'm sure and hoping everything here is on the up and up, there are zero details on the site itself to help assuage any concerns. Linking to your LinkedIn profile here of all places only helps those who discover the site via Hacker News ... that will be a tiny sliver of your traffic.
Glad that you're trying something - will try to submit if I have time to write and am happy enough with the result.
For example, luna-lang.org came up on HN the other day. Looks amazing. But the only sign of WHO is a line at the bottom that says, "Copyright © New Byte Order 2016" and it's not even a link! Searching quickly takes you to http://www.newbyteorder.com/ which also tells you nothing about WHO is involved. Lame.
The most important part of any message is the name of the messenger.
I've contemplated sharing some writing before, but I trust Kindle Direct Publishing far more than I trust nameless website with an email address and some nice sounding promises, even if I might make less money. Big publishers who might reject me still have a reputation to uphold, and won't turn around and take me stories, pay me nothing, then start publishing them with their own name on it.