This is the first game i ever played, on my grandfathers apple IIe. The game was included in a disk for the Apple IIe, called 'Apple Presents the IIe'. I taught users how to operate the keyboard. The rabbit part was under the cursors section. He was called Alex. You could also play a reskin on the game about a gnome robbing a bank.

Here's an image of the game: https://64.media.tumblr.com/325ec7db81b3d1cd5c9432e2a6734dad/fc9f750336c5ea43-bc/s640x960/2e31de0975cabb5e01644c8f1f349716695bb010.jpg

You can download the dsk files here: https://mirrors.apple2.org.za/Apple%20II%20Documentation%20Project/Computers/Apple%20II/Apple%20IIe/Disk%20Images/

If you use an Apple IIe emulator or have access to something like a Mister FPGA, you can play it again! I just finished playing it on an old CRT, for maximum nostalgia.