Interesting that both 1 and 2 both don't work.
Am not familiar with the hardware. but it looks like you recorded on to 4, then played that back, and recorded that on to 1, but the recording didn't stick.
Something on 1 works though, the led bars. So the incoming signal on 1 looks good.
Can you play back a previously recorded 4 track tape? Thereby proving that a recorded tape can be read.
Another experiment I might suggest is inserting a 4 track cassette you don't mind losing, and try to record silence over track 1, and if that works, then do it on track 2.
Another thought - if the record/read selector switch were faulty, it might be reading when you think you are recording.