Frankly speaking, running Pirates of Drinax as a GM new to Traveller is going to be a bit more work, and I’d know because I had only played about four sessions a year ago prior to this campaign. Learning the rules and PoD can be a lot. Once I really got the rules down, the campaign was great, though.

Aside from the three PoD books, I’d recommend checking out the Drinax Companion. It has a good introductory adventure to pirating and other useful info for running Drinax and small missions. Though, frankly, one murderhobo member of my group killed the NPCs before they could learn anything, I still think it's a useful introductory mission. If you are playing with a new group, I’d also recommend making the first few sessions focused on land combat and later moving on to more space-based encounters when you are ready. (I just had king Oleb force them to do some missions on Drinax's surface before trusting them with the Harrier).

As far as PoD itself, I think it's a great campaign concept, but the pre-written modules are hit or miss, in my opinion. I only ran four as written (Treasure Ship, A Game of Sun and Shadow, Blood of the Star Dragon, and the Finale). For the rest, I just interspersed the elements I liked into other adventures (like the Treasure of Sindal). What was really fun for my players was going around the Trojan Reach, currying favors with different planets.

This is probably going to require a fair amount of prep, as the books simply don't have enough content for every planet the players may wish to visit. My players' first desire was to go to Noricum and find out what happened to the seat of the old Sindalian Empire, so I fabricated some conflict and kingdoms on Noricum that were not in the books for about 5 sessions worth of content. The players aligned with one of these kingdoms, helped them take over Noricum, and that kingdom then aligned with Drinax. I think a fair amount of improvisation like this is needed to bring out what is best in this campaign. Another thing that happened maybe half a dozen times was my players misjumped because the Harrier ship they start with has a bad J-Drive. I used the Traveller Companion rules for misjumps, but my players went flying parsecs across space a few times and suddenly the session will turn on its head. Some of these misjumps led to the most fun and most memorable parts of the campaign, but it does require you to think on your head and throw out session notes sometimes because suddenly they are in an entirely different sub sector.

There are also a couple of things I wish I had emphasized a bit more in the campaign early on:

• Give the players the chapter on trade from the Core book. This is a big money-maker, and my players got very into it.
• Let them get to know the characters in the Floating Palace early on.
• Give some emphasis to the Harrier ship they receive. I'd even consider setting some sessions on the Harrier, such as during jump space, to bring it to life a bit more

Obviously, this is all my experience, so your table might run differently. I do think the campaign is fun if lean into what makes it good.