VegasGambler

Note that the instructions on the LP calculator (from the image you shared) are wrong. It doesn't matter which airline issued the ticket. It matters who the marketing carrier is (that is, the airline in the flight number).

Is your flight number BAxxx or AAxxx? If it's BAxxx then, as pointed out, the price paid is irrelevant. If it's AAAxxx, the class of service and miles flown are irrelevant, and you will earn 7 LP per dollar of base fare when you fly. This is true whether you bought the ticket from BA, AA, or someone else. If it's different for the two segments then you need to figure out / guess how they will split the fare between the two segments.

Anything you buy on your AA CC (flight or not, for you or someone else) earns 1 LP per dollar when your statement closes; including it in the calculator is very misleading since it has absolutely nothing to do with your flight.

EDIT: also the miles flown seems wrong. PHX-LHR-BOM is 9758 miles one way; 19516 miles round trip (according to milecalc) I'm not sure where you got 17608 from. It looks like you calculated PHX-BOM direct. Unless it's a direct flight with a stop (ie, same flight number for both legs) you calculate the miles for each segment individually and add them up.