  In this paper, we discuss the dynamics of alterations and rearrangements of a
non-autonomous dynamical system generated by the family $\mathbb{F}$. We prove
that while insertion/deletion of a map in the family $\mathbb{F}$ can disturb
the dynamics of a system, the dynamics of the system does not change if the map
inserted/deleted is feeble open. In the process, we prove that if the
inserted/deleted map is feeble open, the altered system exhibits any form of
mixing/sensitivity if and only if the original system exhibits the same. We
extend our investigations to properties like equicontinuity, minimality and
proximality for the two systems. We prove that any finite rearrangement of a
non-autonomous dynamical system preserves the dynamics of original system if
the family $\mathbb{F}$ is feeble open. We also give examples to show that the
dynamical behavior of a system need be not be preserved under infinite
rearrangement.
