Also the priors are not enough to give you advice. In general you can simulate data with your model and then infer on it to see if it recovers the simulated parameters.
That will tell you whether inference works / assuming the model is the correct one (which it is because you used it to simulate data).
Whether the inference works for real data is something harder to know, because you don’t know how wrong your model is (it’s always > 0 wrong)