is it cool for eagle to eat this stuff... He loves it.

As long as it is whole grain rice, I think it should be fine. White rice has all the nutrition removed from it, so that would be like feeding junk food.

what about wholemeal rice? Is that okay?

Better than white but still not the best for budgies. Why not give your birds some sprouted seed instead.

http://www.landofvos.com/articles/sprouts.html