Kyl Von Kull
The Night Tripper
In the XXII century, humanity is spread across the solar system
Wild capitalization of the markets has sparked bloody clashes between corporations and asteroid miners, spiraling into anarchy - you really don't need a "but" there.
You are an inexperienced captain fresh out of the Academy on your first voyage - out of what academy? Police academy?
Being a complete outsider to the crew, they don't seem to have much respect for you - maybe add "or your command" to the end?
To make matters worse, your ship is targeted by roaming asteroid pirates - or you can just remove the "roaming" part. you don't need "some" here, tbh.
and the blast of a stray ion torpedo damages the fuel controller chip
Somehow you manage to limp away to a nearby spacewreck in hopes of finding a replacement - maybe replace "you manage" with "the ship manages"?
The crew proposes a lottery to determine who will (wait, what are they drawing straws for exactly?) . Despite your status as the captain, you feel compelled to participate
Everyone draws the straws - stylistically, you don't need the "the" there, but it's fine if you wanna keep it.
But you get the short one
Maybe something like this:
In the 22nd century, humanity has spread across the solar system...
...we brought capitalism with us.
As asteroid miners organize, labor disputes escalate into violence, and violence spirals into anarchy.
You are a rookie captain on your first voyage through space...
...things are not going well
Your crew has little respect for your authority
When your ship is attacked by pirates a stray ion torpedo damages its fuel controller chip
Somehow you manage to drift to a nearby spacewreck to search for a replacement
Exploring the wreck will be dangerous, perhaps lethal
When no one volunteers, the crew proposes drawing straws
Desperate to earn their respect, you agree to participate
You draw the short straw.
It may be the last mistake you ever make...