For my Mongoose 2E campaign, I made my own custom GM screen, with only the stuff I found myself needing on a regular basis. It's 3 landscape pages, designed to be put in a customizable GM screen.
You can download a PDF copy, and the original Affinity files I created it with, here: https://polyhedralnonsense.com/2025/10/09/a-custom-gm-screen-for-traveller/
As far as I know, docking is generally just a simple Pilot roll.
If you're interested at getting a feel for the current version of Traveller, I'd recommend their Explorer version - only $1.00 on DriveThru: https://www.drivethrurpg.com/en/product/380244/traveller-explorer-s-edition
You can also try look at the free release of the old 1981 version: https://www.drivethrurpg.com/en/product/355200/classic-traveller-facsimile-edition
Yet another option (pay what you want) is the Cepheus Engine SRD:
https://www.drivethrurpg.com/en/product/186894/cepheus-engine-system-reference-document
How do those compare? It's just some license hell or a different approach?
Mongoose was an OGL approach, hence the SRD. However with all the fuckery regarding OGL they switched to a different approach and now have two affiliate programs that allow anyone to publish their own supporting content.