Blanchard Kahn conditions not satisfied: indeterminacy

Your timing structure for capital seems correct, but the one for net worth is almost surely wrong.
If you have

vahat // bank net worth (after the shock) deviations from trend
vbhat // bank net worth (before the shock) deviations from trend

then the second one must be predetermined with respect to the shock at time t. But how can they then be contemporaneously related as in

vahat*vastar=xihat+vbhat*vbstar;

The discussion at Expectations vs realized might be relevant as well.