  We present two new radio continuum images from the Australian Square
Kilometre Array Pathfinder (ASKAP) survey in the direction of the Small
Magellanic Cloud (SMC). These images are part of the Evolutionary Map of the
Universe (EMU) Early Science Project (ESP) survey of the Small and Large
Magellanic Clouds. The two new source lists produced from these images contain
radio continuum sources observed at 960 MHz (4489 sources) and 1320 MHz (5954
sources) with a bandwidth of 192 MHz and beam sizes of 30.0"x30.0" and
16.3"x15.1", respectively. The median Root Mean Squared (RMS) noise values are
186$\mu$Jy beam$^{-1}$ (960 MHz) and 165$\mu$Jy beam$^{-1}$ (1320 MHz). To
create point source catalogues, we use these two source lists, together with
the previously published Molonglo Observatory Synthesis Telescope (MOST) and
the Australia Telescope Compact Array (ATCA) point source catalogues to
estimate spectral indices for the whole population of radio point sources found
in the survey region. Combining our ASKAP catalogues with these radio continuum
surveys, we found 7736 point-like sources in common over an area of 30 deg$^2$.
In addition, we report the detection of two new, low surface brightness
supernova remnant candidates in the SMC. The high sensitivity of the new ASKAP
ESP survey also enabled us to detect the bright end of the SMC planetary nebula
sample, with 22 out of 102 optically known planetary nebulae showing point-like
radio continuum emission. Lastly, we present several morphologically
interesting background radio galaxies.
