The AE82 is the front-drive version of the Corolla, so we're talking about this one?
http://www.racingsportscars.com/etcc...-08-02-113.jpg
http://www.racingsportscars.com/etcc...-09-06-114.jpg
If so, then as far as I know, it ran the Spa 24 hours and Silverstone TT WTCC rounds, and a couple of late season BTCC races in 1987. Drivers were Phil Dowsett and Tiff Needell, plus Masanori Sekiya at Spa. Needell drove the car in it's BTCC appearances.
Dowsett then drove it in the BTCC in 88, also appearing at the TT (again with Needell), and scoring several BTCC 1600cc class wins (and I think the class championship?)
TOM'S didn't run in the BTCC in 89, but Dowsett raced what might have been the same car, entered by his own team. No idea what happened to it after that, but it certainly didn't appear in the BTCC again