Those p-values are quite large compared to default significance of 0.05 If the p-value was less than 0.05, h will be 1 and it is 'statistically significant' that there is some autocorrelation in the residuals. For p-value > 0.05 and h = 0, you cannot be that confident.
h = 0 means that you cannot confidently reject 'no autocorrelation' in the residuals.
h = 1 means you can confidently reject 'no autocorrelation'
You can change set your own significance using alpha