Great questions.
There's actually a published tutorial that should help here: Lane, S. T., & Gates, K. M. (2017). Automated selection of robust individual-level structural equation models for time series data. Structural Equation Modeling: A Multidisciplinary Journal, 24(5), 768-782. It's a little dated, yet is still helpful with this foundational information in it.
To answer your question, the grey part would be the A matrix, or matrix of contemporaneous relations. You'll see that negative estimates here correspond to blue paths in the figure (see "Openness -> Negative.Emotions"). The contemporaneous estimates are depicted with solid lines here.
The white matrix is the Phi matrix, or lagged relations. The diagonal has estimates of the autoregressive relations, or how a variable relates to itself at the next timepoint. The dashed lines are lagged relations.
For all lines in these individual paths, line width corresponds to the beta estimate, with wider widths = larger absolute values.
Hope this helps,
Katie