First my apologies for being entirely clueless on how airline computer systems work, so I am hoping someone with appropriate experience and expertise will be able to confirm whether I should relax or panic about the following situation.

A few days ago I bought, on AA.com, an ex-DUB ticket to JFK in CW in the current sale. Although all flights are on BA metal they were booked as DUB-LON-JFK on AA codeshares, JFK-LON on a Finnair codeshare and LON-DUB on the BA flight number.

On AA.com everything shows correctly under their record locator, but as all flights are operated by BA I'm keen that everything should be hunky dory there too. Unfortunately there are no less than 3 BA booking references for these flights. The first shows the outbound DUB-LON-JFK flights on BA flight numbers and I can reserve seats. The return flights are missing. The second contains the (repeated) LON-JFK (but not the feeder flight) and also the JFK-LON, both on AA flight numbers, and has the LON-DUB flight on the BA number. I can't select seats for these flights but BA customer services were able to allocate one for the AA codeshare but not (bizarrely) the LON-DUB. No. 3 is identical to no. 2. The ticket number is the same in all 3 booking references.

On calling AA I was assured all was fine but I'm afraid the gentleman did not inspire any confidence since he barely seemed to comprehend the issue. I tried BA whose representative said "It all looks very odd", assigned one seat as noted above but couldn't do the other, denied he could do anything else as it is up to AA, and told me not to worry.

So should I be relaxed, or am I going to find the ticket gets cancelled halfway through the itinerary because I showed up for only one of my 3 flights to JFK?