I think I like where you are going with #7 and #3. I like the idea of using a simple logo "letter" that has all 3 initials BJS (or possibly the two major initials B & J). The name BizJet is most important and shuttle could be secondary. I like 2 or three colors.
Maybe use a different jet plane. The one you are using here looks too old style. Our actual type of jet we use is called an Embraer Legacy 600/650 or ERJ140 or ERJ135. I think different colors would be nice. like deep reds and golds and burgundys. Thank you.
Nice one! I'd like to see this with a gold star and line and airplane. Then maybe the word jet should be in gold and the word BIZ in silver to balance out the color swaps.??? Could you try some of these changes please?