Blanchard & Kahn conditions are not satisfied: no stable equilibrium & The Jacobian of the static model is singular

[jpfeifer]

I would still ask the authors to cross-check with implementation. Replicating papers is hard. I also suggest

Uribe (2019) replication

To aid debugging, I would suggest to make use of Dynare’s \LaTeX-capabilties and tagging the equations to see what you implemented.

See also

Full information estimation of linear DSGE models, by Johannes Pfeifer