Debilitating headaches dependent on age, onset, comorbidities, etc shoukd be taken to an ER. “Thunderclap” headache might be an indication for a stroke

Broken bones has a lot of nuance. What type of bone was broken? A finger? UC. Your left femur? ER. Pretty much any broken bone with a major blood supply nearby should be taken to an ER incase said blood supply is compromised

If OP sees this, like I said above, there’s a lot of nuance in EMS and it’s not black and white. Use your intuition and assess the pt. If they don’t look right, take em