The first issue seems to be related to shader sorting. Either switch your shader to a different rendering mode, or try adjusting its Render Queue property.
Second issue looks like NaNs. They can manifest themselves when using high specular/smoothness values in your texture/shader. I’d suggest looking there first. You can also try ticking Stop NaN Propagation checkbox in the Post-process Layer component.
If NaN issue reproduces only after baking lightmaps, then it might be a directionality issue. Switch to Directionality scene debug view mode to verify it. To fix it, either bake using CPU lightmapper, or switch to non-directional mode.