Monoclonal Antibody Ch14.18, Sargramostim, Aldesleukin, and Isotretinoin After Autologous Stem Cell Transplant in Treating Patients With Neuroblastoma

Inclusion Criteria: * All patients must be diagnosed with neuroblastoma, and categorized as high-risk at the time of diagnosis * At pre-ASCT evaluation, patients must meet the International Neuroblastoma Response Criteria (INRC) for complete response (CR), very good partial response (VGPR), or partial response (PR) for primary site, soft tissue metastases and bone metastases; patients who meet those criteria must also meet the protocol specified criteria for bone marrow response as outlined below: =\< 10% tumor (of total nucleated cellular content) seen on any specimen from a bilateral bone marrow aspirate/biopsy; patients who have no tumor seen on the prior bone marrow, and then have =\< 10% tumor on any of the bilateral marrow aspirate/biopsy specimens done at pre-ASCT and/or pre-enrollment evaluation will also be eligible; (Note that, per INRC, this would have been defined as an "overall" response of progressive disease \[PD\]) * Prior to enrollment on ANBL0931, a determination of residual disease must be performed (tumor imaging studies including metaiodobenzylguanidine \[MIBG\] scan, computed tomography \[CT\] or magnetic resonance imaging \[MRI\], bone marrow aspiration and biopsy); this disease assessment is required for eligibility, and should be done preferably within 2 weeks but must be done within a maximum of 4 weeks before enrollment * Patients with residual disease are eligible; biopsy is not required * Patients must not have progressive disease except for protocol specified bone marrow response * All patients must have completed therapy including intensive induction chemotherapy followed by ASCT and radiotherapy to be eligible; radiotherapy may be waived for patients who either had a small adrenal mass which was completely resected upfront, or who never had an identifiable primary tumor * No more than 9 months from the date of starting the first induction chemotherapy after diagnosis to the date of ASCT except for the rare occasions as noted below; for tandem ASCT patients, this will be the date of the FIRST stem cell infusion; Exception: for those who are initially diagnosed as non-high risk neuroblastoma, but later converted (and/ or relapsed) to high risk neuroblastoma, the 9 months restriction should start from the date of induction therapy for high risk neuroblastoma (not from the initial induction therapy for non-high risk disease), to the date of ASCT * Use Karnofsky for patients \> 16 years of age and Lansky for patients =\< 16 years of age; required patients must have a Lansky or Karnofsky performance scale score of \>= 50% * Patients must have a life expectancy of \>= 2 months (8 weeks) * Total absolute phagocyte count (APC = neutrophils + monocytes) is at least 1000/uL * Creatinine clearance or radioisotope glomerular filtration rate (GFR) \>= 70 mL/min/1.73 m\^2 or a serum creatinine based on age/gender as follows: * 1 month to \< 6 months: 0.4 mg/dL * 6 months to \< 1 year: 0.5 mg/dL * 1 to \< 2 years: 0.6 mg/dL * 2 to \< 6 years: 0.8 mg/dL * 6 to \< 10 years: 1 mg/dL * 10 to \< 13 years: 1.2 mg/dL * 13 to \< 16 years: 1.5 mg/dL (male), 1.4 mg/dL (female) * \>= 16 years: 1.7 mg/dL (male), 1.4 mg/dL (female) * Total bilirubin =\< 1.5 x upper limit of normal (ULN) for age * Serum glutamate pyruvate transaminase (SGPT) (alanine aminotransferase \[ALT\]) \< 5 x upper limit of normal (ULN) for age * SOS (sinusoidal obstruction syndrome, formerly known as veno-occlusive disease \[VOD\]), if present, should be stable or improving * Shortening fraction of \>= 27% by echocardiogram, or ejection fraction of \>= 55% by radionuclide angiography * No evidence of dyspnea at rest * If pulmonary function tests (PFTs) are performed, forced expiratory volume in one second (FEV1)/forced vital capacity (FVC) \> 60% by pulmonary function test * Patients with seizure disorder may be enrolled if on anticonvulsants and well controlled * Central nervous system (CNS) toxicity \< grade 2 Exclusion Criteria: * Females of childbearing potential must have a negative pregnancy test * Patients of childbearing potential must agree to use an effective birth control method * Female patients who are lactating must agree to stop breast-feeding * Patients must not have received prior anti-GD2 antibody therapy * Patients must not have received prior vaccine therapy administered as treatment of neuroblastoma not routine infectious disease vaccinations