Dream recall from the first 2 REM cycles

Hey there, I usually can recall 1 or 2, sometimes 3 dreams per night, full or partially. But never the dreams from the first - let's say - 2 REM cycles. When I wake up after 3 hours of sleep or so, I'm sure I had some nice dreams. But I cannot recall them, no matter how hard I try. Only the dreams from the last REM cycle or the one before. Is this normal? I'm worried I miss some cool regular dreams that I lose every night. I write my recalled dreams down for some months now, maybe it's getting better in the future? Thank you all in advance!