It would be nice to know what entangling a system does. As far as I know it lets you colonize a planet for free and ship travel between systems is a bit faster although I am not sure how much faster.
I also suspect that you are immune to influence because your worlds do not generate any. I am also guessing that you can’t skip systems, IE: If you own A and have the following hyperlane configuration: A - B - C that you can’'t own System C without owning B first.