In the present work, the capture and fission dynamics of \(Z=\) 102 and 103 nuclear systems are investigated. The coupled channel model and the extended Wong model are used to address nuclear capture as well as fission cross-sections of \(^{48}\) Ca \(+\) \(^{208}\) Pb (leading to the composite system \(^{256}_{102}\) No \(^*\) ) and \(^{50}\) Ti \(+^{208}\) Pb (resulting in \(^{258}_{104}\) Rf \(^*\) ) reactions in reference to the available experimental data. Furthermore, the isotopic analysis of the \(Z =\) 102 nucleus is performed by changing the mass of the projectile–target (p–t) nuclei that leads to the synthesis of \(^{252,254,256}\) No \(^*\) composite systems. The study suggests relatively higher cross-sections and compound nucleus formation probability ( \(P_{\textrm{CN}}\) ) values for the reactions in which \(^{48}\) Ca projectile is involved with \(^{208}\) Pb. Also, with a decrease in neutron number for Ca projectile (i.e., \(^{48,46,44}\) Ca with \(^{208}\) Pb target) the fission cross-sections drop by 40 \(\%\) which otherwise for Pb target ( \(^{208,206,204}\) Pb with \(^{48}\) Ca projectile) is 10 \(\%\) . Subsequently, an attempt is made to predict the nuclear capture and fission data of \(Z=\) 103 (Lr \(^*\) ) nucleus within the mass domain of 249u to 261u (i.e., \(^{249,253,257,261}\) Lr \(^*\) ) using various heavy-ion fusion reactions. Along with this, the decay profiles of \(^{249-261}\) Lr \(^*\) composite systems are examined within the framework of the dynamical cluster decay model (DCM) in reference to the fragmentation potential, preformation probability and average total kinetic energy ( \(\langle \mathrm TKE\rangle \) ) distribution. Apart from traditional Pb-valley, an additional dip around the entrance channel mass asymmetry of \(\eta \approx 0.4\) and \(\eta \approx \) 0.2 is also noted for the reactions under consideration.