Zone 1 is actually even easier (and faster) if you first unlock the next checkpoint (the one where the long bridge over the chasm starts) as you can run back from that one and get the last 2 coins very easily.
It looks like you cleared out most stuff (enemies and q-bert button puzzles) ahead of the run. Once you did that, is the only way back to the start to get all 8 coins? If you die, fall, etc won;t you get teleported to the last checkpoint? I've not found a way to walk back.
You can start the race, but make sure you don't die. Bring health potion to clear enemies with. You can click on the X in the corner of the race event at any time to retry and warp back.
@@user-wv8pb5hw1v Worked perfectly. In fact after you get 6/8, you can jump off of the edge, it will teleport you to the 7th (it's not considered a death if you have more than one heart), and cuts a full minute off of you time (made it in under 3 min). All of this is after fully clearing the path. Thanks!