My advice would be to look at classic.checkmytrip.com now. Take the same booking reference that works on ba.com and use that at CMT. The page that opens first should show you your e-ticket number, if one has been issued. But in addition, click on the tab marked "e-ticket receipt" to see the details of the e-ticket. There should be a separate box for each flight in the journey that you've booked.

The reason I suggest you do this now is because this is in effect an independent means of access to the reservation system that BA uses, so it gives you an assurance that what ba.com is showing is correct. In addition, it has the extra detail of showing you all the "coupons" of the ticket, to make sure that it is OK.