Yep, female iguanas will often lay with or without a male...one of the hazards of owning female lizards. Candle the eggs for veins just in case she might have ever been around a male, but most likely they are infertile.

As for her eating.. hmm. Try her out with some of her favorite foods, and make sure you give her a good variety with slightly more calcium to make up for what the eggs took from her.

Good luck!