Irinotecan Hydrochloride and Temozolomide With Temsirolimus or Dinutuximab in Treating Younger Patients With Refractory or Relapsed Neuroblastoma

Inclusion Criteria: * Patients must have had histologic verification of neuroblastoma or ganglioneuroblastoma or demonstration of neuroblastoma cells in the bone marrow with elevated urinary catecholamines (i.e., \> 2 x upper limit of normal \[ULN\]), at the time of initial diagnosis * For the purposes of this study, aggressive multidrug chemotherapy is defined as chemotherapy including 2 or more agents that must include an alkylating agent and a platinum-containing compound; patients must have ONE of the following: * First episode of recurrent disease following completion of aggressive multi-drug frontline therapy * First episode of progressive disease during aggressive multi-drug frontline therapy * Primary resistant/refractory disease (less than partial response by INRC) detected at the conclusion of at least 4 cycles of aggressive multidrug induction chemotherapy on or according to a high-risk neuroblastoma protocol (examples include A3973, ANBL0532, ANBL09P1, etc.) * Patients must have at least ONE of the following: * Measurable tumor on magnetic resonance imaging (MRI), computed tomography (CT) scan obtained within 3 weeks prior to study entry; measurable is defined as \>= 10 mm in at least one dimension on spiral/helical CT that is metaiodobenzylguanidine (MIBG) avid or demonstrates increased fludeoxyglucose (FDG) uptake on positron emission tomography (PET) scan * MIBG scan obtained within 3 weeks prior to study entry with positive uptake at a minimum of …