Im looking for a similar reservation. I used ITA matrice. I can book with AA website, but i dont get any ticket number... im waiting and don't know if my reservation will be ticketed and when...
For the return legs : booking code INX9T1S4 is a special fares (THIS FARE IS VALID FOR A SPECIFIED ACCOUNT CODE / SALE IS RESTRICTED TO SPECIFIC AGENTS) ; but you can try with INX9C1S4 (+100€).
To pay less, a departure Tuesday to thursday is cheaper from DUB. BA codeshare get less YQ with this fare for the return.
If anyone has an idea, thanks for advance.