Recent progress towards realizing the Electron-Ion Collider (EIC)~\cite{AbdulKhalek:2021gbh} that was announced in 2020 to be built at Brookhaven National Laboratory (BNL) in the United States has revived interests in the deep-inelastic-scattering (DIS) data taken from $ep$ collisions at Hadron-Electron Ring Accelerator (HERA). HERA was the first $ep$ collider located in Hamburg Germany that brought electrons (or positrons) with a beam energy of 27.6~GeV and protons with a beam energy of 920 GeV to collisions at a corresponding centre-of-mass energy of 319~GeV. The H1 detector equipped with tracking and fully instrumented calorimeter detectors in its hermetic and asymmetric design is well suited for jet and event shape measurements. Proposed measurements involving jets, global events shapes and correlations in DIS for HERA and EIC focus on the three-dimensional description of nucleon structure and hadronization and their their flavor dependence as well as precision measurements for QCD and BSM. This contribution presents recent results on the lepton-jet azimuthal decorrelation and the 1-jettiness event shape measurements performed using the DIS data at high $Q^2$ taken with the H1 detector at HERA.