I fear this won't be a long-lasting bow, but not because of the string alignment issues.
I've backed four plum and hawthorn sapling recently. Both woods are very good in compression, and backing them can increase the draw weight in a rather spectacular way, like here.
The problem is that the belly of such a bow is edge-grained, and knots or pins come out sideways. Since wood is much, much weaker in compression perpendicular to the grain than parallel to the grain, and since these pins can run along half the width of the belly, you get spots where hinges can develop. Leaving the belly wider in those areas doesn't change the situation. In a normal, heavily crowned sapling design, the back isn't so strong, so the belly isn't stressed a lot. Now if you start adding a strong backing, like you did (and as I've done a few times), you get a stronger back but not a stronger belly. Toasting the belly will even enhance the difference in compression strength of the normal parallel fibers and the perpendicular wood fibres of the pins. Initially, the bow shoots very well, very fast.
Slowly but surely, hinges will start to develop around these sideway pins/knots. This can happen rather suddenly (e.g., as a result of moisture changes, which affect tension/compression ratios). Eventually, the bow breaks at or close to these pins due to compression failures.
Check if the splinters that lifted were close to such belly pins.
I've learnt the hard way that if you back a bow with a strong backing, you need a perfect belly free of lateral pins. Such saplings are rare.
I have the impression that your inner lower limb is already too heavily stressed, and in danger of hinging.