This phase III trial is studying how well giving carboplatin and vincristine together with standard local ophthalmic therapy works in treating children with intraocular retinoblastoma. Drugs used in chemotherapy, such as carboplatin and vincristine, work in different ways to stop tumor tumor from dividing so they stop growing or die. It is not yet known whether neoadjuvant chemotherapy combined with standard local ophthalmic therapy is effective in treating intraocular retinoblastoma.