Yes, as long as you sign into the same Google Play account or Facebook account inside the game, your progress should sync between your phone and your PC.
Enjoy the unique 80s-inspired aesthetics and 3D graphics on a full-sized monitor.
Yes. You are downloading the official free-to-play game from the Google Play Store using legitimate software. You are simply running it on different hardware.
In BlueStacks, go to Settings > Controls > enable "Shoot with Mouse" to aim your laser cannon by simply right-clicking or aiming with your cursor.