Quantitative relaxation and diffusion mapping are desirable in clinical breast MRI as biomarkers for tissue characterization and prediction of treatment response. Conventional multi-parametric mappings are typically acquired in separate scans. We simultaneously generate high quality, co-registered T1/T2/ADC maps without image distortion for 3D whole breast coverage in 8.5min, incorporating B1+ compensation into the Multitasking framework to improve T1 accuracy. We demonstrate excellent agreement of T1/T2/ADC measurements between the proposed Multitasking approach and available reference methods, as well as good repeatability. We also show that all T1/T2/ADC measurements produced by the Multitasking framework agree with literature range.