It's a pleasure to make your acquaintance, as I will be the representative of the Crayter Republic in this matter. You'll have to excuse me, however, since I shall only introduce myself as "Sentinel".

To answer your queries, one by one...
Yes - the remnant station found within the system known as Omicron Lost is of Crayterian origin.
And yes - the system is quite dangerous. I can only say that there are plenty of threats to be found in it, but their nature depends on who tries to enter it; a good example would be the presence of Nomads - creatures which I hope you know of.
Regarding information about Omicron Lost, I'm afraid there isn't much - since the system itself is rather barren and devoid of resources, so it doesn't contain any large amounts of elements worthy of documentation. The only notable "object" would be Planet Moros, which we did survey and we could lend you a transcript of our findings, or almost lack of to be truthful.
As for your last question - I cannot fully respond for now. Yet, I have to ask: should any kind of agreement or joint operation be commenced between us and your people, how would the Republic benefit from aiding you?

I eagerly await for your reply.

Perhaps I appeared too cryptic in my earlier message and I apologise. It's only that I myself am part of the Republic's knowledge-oriented department.
When i mentioned a benefit for the Republic, I did consider your nature as a scientific institute and I merely suggested sharing whatever finds your men may discover through your archaeological endeavours.

As for the information with regard to Moros, perhaps we can arrange a meeting. I would be more than happy to bring you the before mentioned transcript. Let me know what you'd prefer and maybe we can also discuss our secondary issue as well - about mutual benefits.