We don’t know if anything (like her ID) was missing from her wallet.
Perhaps previous rides home from work were not from coworkers. If the father would go to bed before she got home - how would he know exactly when she got home or who brought her home?
JMO
Her father was under the impression the rides were from her boss or from a coworker. You're right, it's possible the rides were not always from a coworker but in that case it means she is hiding whoever it is from her dad. Which would be meaningful.