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When a capturing move of a non-promoted cell is at the king-row, the cell becomes a king cell and can't make any other capturing move even if there are available.
What about a promoted cell that makes a capturing move is at the king-row, and there are capturing moves available?
All capturing moves are compulsory (with the exception of your choice of which capturing sequence to take).
It is a special case that causes a pieces movement to end when it is promoted.
In your case, the piece was already promoted before re-entering the king-row as part of a capturing sequence. Its movement does not end and you must continue to make the available capturing moves.
For the checkers variant predominantly played in the US/UK, see the answer by @ColinD. The same rules applies to almost every other checkers/draughts variant.
In the Russian draughts variant, however, if a man passes the king-row during a capture sequence, it promotes and continues to jump as a king until it is finished.
