Your reports don't point to an active urinary infection right now. The bacteria and mucus on the routine test most likely came from the sample itself, especially since your culture grew nothing and you have no symptoms.
Next Steps
You don't need antibiotics based on this. If burning, urgency, or lower abdominal pain shows up later, repeat a fresh midstream sample rather than relying on this one.
Health Tips
Please consult your gynaecologist with both reports so they can factor in your full history before ruling anything out completely.