After 2 weeks of shipping I finally got the new transistors, replaced the bad one and now the whole screen works. Thanks a lot for your help.
This isn't to say that it's perfect: trigger is sloppy on the ms setting (works perfectly on the uS setting), and it can only show one channel at a time, but both channels work fine on their own. It isn't tied to one channel either: sometimes A shows, and sometimes B. Also the problem is probably on the display side, because X-Y mode works, so the channels don't "block" eachother.
I know it doesn't matter much, but I recieved the DSO from my friend, the supply rails and slightly noisy but everything is on a DSO138. There is no ripple that it can pick up on.
The trigger does sometimes just starts to work when I flip the AC/TV selector around. It only works in TV, and only occasionally. I haven't been able to recognise any sort of pattern or correlation with anything I do and the trigger, I honestly have no idea of what could be causing this behaviour.
Once again, thank you very much for your help.