I have the same experience - sometimes serial adapters don't work. I stay away from the cheaper ones you can buy at AliXpress but even then no guarantees (this is not even specific to PAL-1 - once I have a working serial adapter cable for any one of my projects I keep that setup together).
The one I currently use with my PAL-1 is this one:
I use a gender changer since this adapter and PAL-1 out are both male. Null modem conversion shouldn't be necessary.
If you still have no luck, do a thorough check with a magnifying glass for cold joints - all my previous problems of stuff not working were related to me being too careful not to overheat the components. I've since bought a new soldering iron, one that has temperature control (and I actually now have a FAR higher soldering temp than before!). If you see a cold joint, you can always reflow. I also check everything for shorts due to inadvertent solder bridges.
I also always check any cap, resistor, diode, or transistor using a cheap component tester before inserting. But Liu is using very high quality components so I wouldn't expect them to be faulty. (actually, to be honest, I've never found a non-working component in any of the kits I've ever bought for any board).
Good luck,
Hendrik-Jan