Testing the Addition of 131I-MIBG or Lorlatinib to Intensive Therapy in People With High-Risk Neuroblastoma (NBL)

Inclusion Criteria: * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Patients must be enrolled on ANBL00B1 (NCT00904241) or APEC14B1 (NCT02402244) prior to enrollment on ANBL1531 (NCT03126916) * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Patient must be \>= 365 days and =\< 30 years of age at diagnosis * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Patients must have a diagnosis of neuroblastoma or ganglioneuroblastoma (nodular) verified by tumor pathology analysis or demonstration of clumps of tumor cells in bone marrow with elevated urinary catecholamine metabolites; the following disease groups are eligible: * Patients with International Neuroblastoma Risk Group (INRG) stage M disease are eligible if found to have either of the following features: * MYCN amplification (\> 4-fold increase in MYCN signals as compared to reference signals), regardless of additional biologic features; OR * Age \> 547 days regardless of biologic features * Patients with INRG stage MS disease with MYCN amplification * Patients with INRG stage L2 disease with MYCN amplification * Patients \> 547 days of age initially diagnosed with INRG stage L1, L2 or MS disease who progressed to stage M without prior chemotherapy may enroll within 4 weeks of progression to stage M * Patients \>= 365 days of age initially diagnosed with MYCN amplified INRG stage L1 disease who progress to stage M without systemic therapy may enroll within 4 weeks of progression to stage M * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Patients initially recognized to have high-risk disease must have had no prior systemic therapy (other than topotecan/cyclophosphamide initiated on an emergent basis and within allowed timing); patients observed or treated with a single cycle of chemotherapy per a low or intermediate risk neuroblastoma regimen (e.g., as per ANBL0531, ANBL1232 or similar) for what initially appeared to be non-high risk disease but subsequently found to meet the criteria will also be eligible; patients who receive localized emergency radiation to sites of life-threatening or function-threatening disease prior to or immediately after establishment of the definitive diagnosis will be eligible * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Creatinine clearance or radioisotope glomerular filtration rate (GFR) \>= 70 mL/min/1.73 m\^2 or a serum creatinine based on age/sex as follows: * 1 to \< 2 years: male = 0.6; female = 0.6 * 2 to \< 6 years: male = 0.8; female = 0.8 * 6 to \< 10 years: male = 1; female = 1 * 10 to \< 13 years: male = 1.2; female = 1.2 * 13 to \< 16 years: male = 1.5; female = 1.4 * \>= 16 years: male = 1.7; female = 1.4 * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Total bilirubin =\< 1.5 x upper limit of normal (ULN) for age, and * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Serum glutamate pyruvate transaminase (SGPT) (alanine aminotransferase \[ALT\]) \< 10 x ULN; for the purposes of this study, ULN for SGPT (ALT) is 45 * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: Shortening fraction of \>= 27% by echocardiogram, or ejection fraction of \> 50% by echocardiogram or radionuclide angiogram * FOR PATIENTS ENROLLING TO ANBL1531 (NCT03126916) WITHOUT PRIOR ANBL2131 (NCT06172296) ENROLLMENT: No known contraindication to peripheral blood stem cell (PBSC) collection; examples of contraindications might be a weight or size less than the collecting institution finds feasible, or a physical condition that would limit the ability of the child to undergo apheresis catheter placement (if necessary) and/or the apheresis procedure * PATIENTS WITH TUMORS HARBORING ALK ALTERATIONS TRANSFERRING TO ANBL1531 (NCT03126916) ARM E FROM ANBL2131 (NCT06172296) (EFFECTIVE WITH AMENDMENT 13C): See ANBL2131 (NCT06172296) protocol for eligible high-risk neuroblastoma diagnoses * PATIENTS WITH TUMORS HARBORING ALK ALTERATIONS TRANSFERRING TO ANBL1531 (NCT03126916) ARM E FROM ANBL2131 (NCT06172296) (EFFECTIVE WITH AMENDMENT 13C): In addition, all patients transferring from ANBL2131 (NCT06172296) to ANBL1531 (NCT03126916) Arm E must have tumors with an ALK aberration * PATIENTS WITH TUMORS HARBORING ALK ALTERATIONS TRANSFERRING TO ANBL1531 (NCT03126916) ARM E FROM ANBL2131 (NCT06172296) (EFFECTIVE WITH AMENDMENT 13C): Given the lack of data with lorlatinib in infant populations, patients transferring from ANBL2131 (NCT06172296) to ANBL1531 (NCT03126916) must be \> 1 year of age at time of transfer to ANBL1531 (NCT03126916). Patients \< 1 year of age found to have a qualifying ALK alteration as part of ANBL2131 (NCT06172296) may continue to participate in ANBL2131 (NCT06172296) * PATIENTS WITH TUMORS HARBORING ALK ALTERATIONS TRANSFERRING TO ANBL1531 (NCT03126916) ARM E FROM ANBL2131 (NCT06172296) (EFFECTIVE WITH AMENDMENT 13C): Patients initially recognized to have high-risk disease must have received no more than one cycle of topotecan/cyclophosphamide either after enrollment to ANBL2131 (NCT06172296) or started emergently prior to enrollment to ANBL2131 (NCT06172296) * PATIENTS WITH TUMORS HARBORING ALK ALTERATIONS TRANSFERRING TO ANBL1531 (NCT03126916) ARM E FROM ANBL2131 (NCT06172296) (EFFECTIVE WITH AMENDMENT 13C): Patients may have received up to one cycle of intermediate risk chemotherapy prior to initial enrollment to ANBL2131 (NCT06172296) * PATIENTS WITH TUMORS HARBORING ALK ALTERATIONS TRANSFERRING TO ANBL1531 (NCT03126916) ARM E FROM ANBL2131 (NCT06172296) (EFFECTIVE WITH AMENDMENT 13C): Patients may have received localized emergency radiation to sites of life-threatening or fun