I think the varnish binder in that stain will render it incompatible
with lacquer. You could always try it on a piece of scrap. You'll
know within seconds; the lacquer turns white and flakes up like a bad
case of eczema.
If you have to do it, a coating of shellac in between the stain and the
lacquer may do the trick.
Staining pine requires a sealer coat first. Many softer wood do so as well.
Cut shellac works fine or commercial sanding sealers may also work as well.
Fixing it is going to be problematic. I would rub it down with mineral
sprits, remove as much stain as possible. Sand or scrape it smooth. Seal
it with shellac and then to stain, use a gel-stain. Gel stains don't soak
in as much as much and will leave a more consistent color. IMHO
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