Starbuck comments that Boxey already lost one parent, obviously referring to his mother Serina. However, Boxey had actually lost two parents, as his biological father had died sometime before the events of the series.
When Apollo is surprised to find Starbuck and Boomer flying nearby, Boomer quips, "We just thought we'd take a little ride. The stars are nice in this galaxy." But Apollo is lost in a star system called the the Hatari system ("it's filled with planets and asteroids," says Commander Adama), not a different galaxy. A galaxy is made up of hundreds of billions of star systems.
Red Eye must be composed of light sturdy alloys. Considering he is able to ride a horse for several miles, without his weight being a burden to the animal.
Red Eye has managed to keep functioning on a planet without advance technology for about a decade. Without any means of recharging or maintenance.