We report upgraded Giant Metrewave Radio Telescope observations of the massive and highly disturbed galaxy cluster Abell 2744. The cluster is experiencing a very complex multiple merger and hosts a giant halo and four radio relics. To study the spectral and polarization properties, and radio versus X-ray correlations of the diffuse sources, we complement our analysis with existing VLA (1-4 GHz) and Chandra observations. In our new images, the central halo emission is observed to be more extended than detected previously. The integrated spectrum of the halo follows a power-law between 150 MHz and 3 GHz, while its subregions show significantly different spectra also featuring high frequency spectral steepening. Our results highlight that an overall power-law spectrum, as observed in many radio halos, may also arise from the superposition of different subcomponents. The radio brightness distribution of the halo strongly correlates with the X-ray brightness of the intracluster medium (ICM) with a constant sublinear slope from 675 MHz to 3 GHz. The comparison of the spectral index with the X-ray brightness and temperature reveals different trends indicating that the halo consists of two main components with distinct evolutionary signatures, possibly related to different cluster subcomponents. All four relics in this system follow a power-law radio spectrum, compatible with shocks with Mach number in the range 3.0 − 4.5. All relics are also highly polarized between 1 − 4 GHz and show Faraday dispersion measures below 10 rad m −2 , suggesting that they are located in the low density ICM. The complexity in the distribution and properties of nonthermal components in Abell 2744 support a multiple merger scenario, as also highlighted by previous X-ray and lensing studies. Our results demonstrate the importance of sensitive and high-resolution, multi-frequency radio observations for understanding the interplay between the thermal and non-thermal components of the ICM.