sorry for the late reply, your post somehow slipped my attention! I hope I can still be of help.
Yes, if you z-transform all observed variables, than all arrows between observed variables will give you standardized results; note, however, that this may not be the case for latent variables (which may still have a total variance unequal to one), or (very rare case) your model does not allow enough degrees of freedom to fit all variances to one. An alternative is to right-click on a path and select under „customize path“ the option „show standardized estimates“, then in addition to the unstandardized parameter the label on the arrow now also shows (in paranthesis) the standardized estimate, i.e., betas for regressions and correlations for covariance edges.
The constant is a way to introduce means; by default, all means of the observed variables are either freely estimated (which is called „implicit means“ in Onyx) or fixed to zero (which is called „explicit means“). In the explicit means mode, however, you can use the constant to actively estimate means of certain latent or observed variables by connecting the constant triangle to the variable in question by a regression path an freely estimate this path. You could think of the constant as being a variable which always is exactly one, without any variance.
I hope this helps, cheers,