If these materials can be found in the space they can still collect and find them so that's good.
Bad thing is before that they will have to operate mainly on the surface before making a station in space and a large scale dock station which is required to produce the reactor.
All while operating on coal power plants mind you, because they have no other power source on the planet
Also they would need to drop them on the ground or transport to processing plant which first has to be built and secured from any intrusion. To produce iron you first need the means to process it too, after which you can produce more durable stuff and loop it until you can finally process the rare metals.
All while managing on the side infrastructure and making more
coal power plants where they burn monster carcasses
After all that is done, they need to start making complex things and start building rockets/transport to the space before building the docks. After docks they build reactor and facility for subspace communication.
Everything operating on Iris' processing mainframe which deteriorates over time and its processor modules have to be replaced by, mind you, a human. She may hit a power saving mode and reduce the usage of her
cores but still if she won't start making replacements her brain will die as if she were a human.
Seeing as
Iris doesn't know what to do with the defective processor modules but
Alan has an idea may suggest that the Empire in fact is quite wasteful which won't may cloud Iris' on how to properly manage her deteriorating assets and might just throw away a module that can work with little fix.
All in all Before we start making complex devices we will waste quite a bit of processing power on making tools and management of stuff so to provide endless working cycle Iris will not run away from the need of producing processors, which require rare metals, on her own.
Not entirely sure why they would take hundreds of years to make that, but taking into account that they need cold sleep for travel and the fact that nearest survey from the empire will be in 1200 years may suggest that the Empire's border or survey vessels are far enough for the signal to travel long time, before even the ships with the rescue mission start moving. So if the distance is long enough but we can build a subspace communication device, let's say the more power it has the further the distance can travel in shorter time, it increases possibilities.
And mind you she will work on power saving mode. She is a ship's management AI with mainframe strong enough to manage combat and whole ship but not a city management AI with mainframe strong enough to handle infrastructure projects, production, planning AND managing the wreckage of a ship on top of that.
No matter how advanced AI, CPU will hit its limit sooner or later which will lag everything down.
There's no mention of what class ship it is, but seeing as the crew is 1200, while googling some aircraft carriers shows the crew 3000 people, some WWII battleships of 2000 people and modern cruisers of 700 may give an inkling of a size and capabilities of such vessel.
*Assuming the bugs are the bugs because they are many and of low quality, meanwhile Empire is all about quality of their ships: I'd guess its class may most likely be a cruiser or small battleship possibly with capabilities of landing a small task force on a planet of around 400 or so people, which then became
lightweight destroyer's CPU linked with some limited production capabilities for the sake of its own maintenance.
*(Assumption based on how Iris explains possible outcome of a battle with the bug's fleet of 1 vs 16).
Ofc it's all my
guesstimating based on my limited knowledge of what I googled and conjured within 5 minutes. Still, it doesn't strike me as
the most powerful vessel in the fleet of the Empire.
After all it's an armed exploration vessel.