Join Date: Sep 2006
Location: Bangkok, Thailand / Cambridge, UK
Programs: TG -*Gold, AF-Silver, Asia Miles, BA-Silver, AMEX Green-MR
Posts: 324
As long as the flight isn't terribly full, awards seat arn't really capacity-controlled. So you should have no problem securing an award seat, especially on LAX-BKK route in March (off-peak season).
Try calling THAI headquarters at +66 2 356 1111 (it's the most efficient call center)