The FBI does NCHCs, Name Checks, NICS, NCIC, employment investigations, facilities access investigations, Presidential appointee investigations, InfraGard background checks, etc. Only the employment and appointee investigations are aligned with the Federal Investigative Standards--they exceed Tier 5--and none of the others would be used as a security clearance investigation. So an FBI background check doesn't tell us much about getting a security clearance.
While the current FIS have not been publicly released, you can read the old NACLC and SSBI
standards to get a sense of the investigative methodologies for security clearances. Investigators don't exceed these standards. They don't get paid for doing unscheduled work, and it would slow them down. Ever since the IRTPA, it's been all about speed. Crush the backlog, meet the timeliness goals, deal with problems later.
Adjudicatively, I wouldn't expect anything on her record to be a major hurdle. The weapons arrest is simple. "I was a small girl visiting the big city. I'd been living in Texas so long I forgot you can't carry mace/brass knuckles/1911s everywhere." It's pretty easy to mitigate bad behavior in college, too, as the adjudicative guidelines were written when things like underage drinking, pranks, hazing, drugs, and date rape were a cherished part of the experience. Time and disassociation from her cohorts will mitigate all that weirdnes. She's only 19, so she has a few years before daddy gives her a job at his company. And he'll probably have a good FSO who will tell her exactly what to say if anybody asks questions.
Generally though, there's no set of conditions under which a US citizen can
never get a clearance, short of renouncing their citizenship. Everything in SEAD 4 can be mitigated, the Bond Amendment disqualifiers can be waived, and the Bond prohibition goes away the moment you stop using drugs.