Sky and Telescope's Sky at a Glance is a good basic resource for events: https://skyandtelescope.org/observing/sky-at-a-glance/
Astronomy Magazine has a similar one: https://astronomy.com/observing/sky-this-week
Another observing calendar: http://www.seasky.org/astronomy/astronomy-calendar-2021.html
For better understanding what the actual constellations, stars, and objects will be in the sky, I recommend a planetarium app like Sky Safari or Stellarium. You can set your location and then specify a time, and it will show everything that's in the sky at that time.
As far as the telescope is concerned:
It's not really a planetary instrument, though it can show Jupiter's Moons and Saturn's rings without issue. With favorable conditions, you can see Jupiter's major cloud bands. Try to keep magnification around 114x for planetary observing (using a 4mm eyepiece, like this one: https://www.amazon.com/Qiterr-Telescope-Monocular-Eyepiece-Planetary/dp/B083WHZGFL/. The scope can probably tolerate more magnification but I wouldn't push it. Collimation has to be very accurate to use higher power in this scope.
Planetary season will come later this summer and fall when the major planets are back in the evening sky. Mars is too far away to be visible, and will be back in December 2022. But Mars is still going to be too small for the Starblast to see much. Maybe the polar ice cap.
This time of year, the best deep sky object is M42 - the Orion Nebula. Use around 50-75x magnification on it.
How many deep sky objects you can spot with the Starblast depends on light pollution levels. From a dark sky, a few hundred DSOs would be visible in the scope. From light polluted skies, only a handful.
Most DSOs don't show color, even in very big telescopes. Their surface brightnesses are just too low. Even big aperture telescopes cannot get around the limitations of the human eye. As such, expect all DSOs to look monochrome, save for colorful double stars like Alberio in Cygnus. If you see a small gray smudge in the eyepiece, consider that a success. The Orion Nebula will show lots of texture and tendrils and all kinds of stuff from a dark sky, but having observing experience helps. The Andromeda Galaxy can show dust lanes from a dark sky.