US law requires that the e-ticket receipt show the bag fee for first and second bags by segment. It is always the place to look first as it is what the check-in agent will see. If it is possibly incorrect, the time to fix it is now, not standing at some airport counter.
In this case, while HA does not provide *G benefits as it is not a *A carrier, OP is ticketed in F and that includes a baggage allowance as well.