Basicly I extended this one:

1-Obviously the grey line from Delta Serpentis goes to Sol, but what system does that straight up line from DS go to?
Yep, it goes to Beta-Aquile, but the name was too big to place it there without making map ugly.
2-Not asking for plot spoilers right now, but in the second part of VM will we find out what exactly this "Star Alliance" is (who it's made up of, what kind of government it is, etc.)?
As of the end of VM1, the Star Alliance now controls Adhara and Laramis. Adhara covertly funded the LSR rebellion with the cool new ships and weapons you saw during VM1. When the LSR had almost lost the war, the Adhara government showed its hand and sent the Venice to bail out the LSR. Around that time, the Adharans officially formed the Star Alliance, which the battered Laramis happily joined.
Thats pretty much speaking basicly. But actually all systems beyond Laramis all the way to Adhara are under Star Alliance control, since they are basicly border systems, and by beeing cut off from GTVA my Laramis revolt, they join up LSR, but since they are not so developed, they are only resource and supply support. (RNI-Shipyards are located in Laramis).
As for the goverment, they are pretty much old NTF member controlled council, with big minds running the ropes. But not as arrogant and blind as General Assembly is. With all the technological advantage, they end up beeing superior of GTVA. (using forgotten GTI and NTF research).
Their future focus is exploring new systems, and research. They rather not wanting to do have anything common with GTVA, and keep to themselves.
Though it seems TheHound made the node map "toroidal" in that Dubhe wraps all the way back around to Adhara...interesting.
Dubhe is connected to Adhara via Knossos. It allows Adhara do support LSR without the need to even aware GTVA of this.
Actually there is a Star Alliance Hidden Shipyard in newly settled system of Epsilon Erdani, supporting LSR from shadows.
Any other questions, im happy to answer