On the delete event call a BAPI which takes an import parameter (some unique key) in the table and code in your BAPI to delete that particular row. Once, the deletion from the backend is successful just delete the particular row from your context too so that it would not appear in the list on front end.
In your case you can have a single model and import all the BAPIs in the same model.
Create the binding between the component controller and model. Create the model nodes for the BAPIs.
Create methods to execute the BAPIs.
On the action like approve or reject or save, parameters of the BAPI are set in the model node and the method which executes the required BAPI is called.
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