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Well, however I didn’t understand how two pieces on one ‘safe’ square can be obtained?

Any two pieces of the same color can move on the same square creating a "safe square". 

Any two pieces of the same color can move on the same square

Would be worth making this eplicit in the decription; the Backgammon inspiration is clear but it does differ markedly from normal Chess

Are we sure this won't lead to a lack of decisiveness? As long as only two pieces fit on a square at a time (unlike in Backgammon), it should be possible in principle to eventually force a King to leave such a square by Zugzwang, but some kind of Fortress might be more difficult to avoid

Checkers can move […] according to the rolled numbers

Presumably this is, as in Backgammon, an exact count, and a single piece can use two (or more, n the case of a double) rolls in one turn?

A checker piece can reach the last rank and start its return journey on the same die roll

Since the piece's identity is revealed only at the end of its turn, presumably that means that after reaching the end it may move ‘backwards’ rather than forwards (also applies to pawns, though that seems sort of implicit)? Can it make this change of direction within a single roll? What if it returns to its home rank; does that have to be an exact roll?

If a checker piece is captured, it returns to its starting rank

Is the choice of square made by the owner or the capturer?

For that matter, how (if at all) do checkers capture?

Thank you for your suggestions. I have now updated the rules. Please let me know if there is anything else to consider. 

The author, Florin Lupusoru, has updated this page.