Hi Brand,
Directly you can view the above information in VTTK and VTTP tables. There is a FM RV_SHIPMENT_READ, but not suitable for your requirement.
As such no BAPI's are available to get the shipment details data. better to deal with the select queries.
deliveries to shipment - check VTFA table ( J for delivery)
Shipment data - VTTK and VTTP
