Abbreviations in electronic configurations
I would recommend following the convention used by NIST which is to list the subshells in order of principle quantum number $(n),$ and in order of angular momentum quantum number $(\ell)$ for a given $n.$
See also ELECTRONIC STRUCTURE OF THE ELEMENTS (PDF).
The question refers to “rules on how to fill the orbitals”, but I don't think there are any rules, just memorization aids.
See The low-lying level structure of atomic lawrencium $(Z = 103):$ energies and absorption rates for an sample of how difficult it is to calculate the ground state configuration of an atom.  The only rule is quantum electrodynamics.
Also, the configurations are really just designations or leading configurations, with the actually ground state being a mix of configuration.  See for example the above lawrencium reference or A critical compilation of energy levels and spectral lines of neutral boron, where it explained “Configuration and
term labels have little physical meaning for highly mixed levels”. Boron ground state is $95\%$ $\mathrm{(1s)^2(2s)^2(2p)}$ and $4\%$ $\mathrm{(1s)^2(2p)^3}.$  Lawrencium is calculated to be $86\%$ $\mathrm{(7s)^2(7p)}$ and $6\%$ $\mathrm{(6d)(7s)(7p)}.$