Limp mode P1050 P1062, pending 2851 2863.

My daughters started her 2007 mini one, engine management lamp illuminated with a diagonal line half filled.
Managed to limp home. Checked codes, P1050 P1062. Two pending codes 2851, 2863. Codes seem to point to eccentric cam sensor or vavletronic actuator. Can anyone shed any light on these codes or the most likely causes.

Thanks in advance.