You can't after purchase unless you can still recreate the journey and fares still exist and the rules have not changed. ITA Matrix fare search will also show fare rules and their formating is much easier to read than AA website formating. The only way to pull up historical fares that I'm aware of is with an ExpertFlyer subscription as they maintain fare filings going back a year and they let you backdate the ticketing date with a fare search to bring up the historical fares. EF does not include most taxes, fees, and carrier-imposed surcharges in fare pricing, so some historical pricing info is not available.

Both fares are actually still available for purchase. They have lengthy 120 day APs and the return fare has a 10 day min stay requirement (so you have to search out pretty far to bring them up and make sure your stay is at least 10 days). Outbound fare also has day of week travel restrictions (MON/TUE/WED/SUN) and a 200 EUR change fee. Carrier-imposed surcharges for ex-EU fares are currently 550 EUR each-way on biz fares.

Not currently seeing any availability in I with LHR routing on BA with AA coding on flights in July. Having availability in I with BA codings is not sufficient since these are AA fares and they must have availability with AA flight codings. You also need to be looking at bucket availability from Spain point-of-sale since bucket availability on same flights can vary based on point-of-sale.

Seeing some availability in I with DFW routing in July, but nothing with I5 or higher so DFW routing will not work. It's looks like there are quite few dates available with CLT routing in July that are I5 or higher. Google Flights/ITA doesn't show CLT routing options by default (probably due to long layover -- had to force CLT routing in ITA with advanced controls).