Dream Recall but no Lucidity

So I've been practicing alot. And last night I was able to remember about 6 dreams! It was strange though, I'd have a dream, wake up, then go back to sleep and have a continuation of the dream, then wake up then go back to sleep and have another continuation of the dream. But it only happened like that for the first 3 dreams, all the others were just random. I wasn't lucid in any of them! And there were many obvious signs that I was dreaming. Can someone help me with this and tell me why I woke up several times last night and remembered multiple dreams?

You probably woke up in the middle of REM. You should have tried to DIELD. If you're waking up a lot that's a good sign to just lie still and picture the same dream you were in doing a RC and becoming Lucid. Or you could just get up for 30 mins and WILD. Like Avalanche and f0rceez said you probably woke up after REM but theres still a chance you got interrupted while you were in it and woke up

No, you wake up after REM, unless you are interrupted by something. Everyone wakes up after each REM or dreaming cycle, it's either so short or we don't remember the waking up part in the morning. The amount of dreams nor the content matter when trying to lucid dream. Of course being able to dream at night and remember them is crucial, but not exactly to being able to lucid dream. You can lucid dream with no recall- you just wouldn't remember it.

If you find you often wake up and then fall asleep back into the previous dream, you should try dream incubation. This is where you isolate the intent and focus yourself to gain lucidity when you see a certain thing, or you keep an idea and incubate that, so when you see it you will become lucid. In your case you should wake up and incubate the previous dream in hopes you return to it again.

Yeah, you'd most likely have woken up right after REM. I have a friend that also wakes up after every REM cycle. He's also another lucid dreamer on this website. Waking up after your REM cycle helps alot with remembering your previous dream. Depending on what induction method you're using i'd say keep up your reality checks throughout the day (probably at least once every 2 hours)
Good luck!

You are close, follow what the others said about REM.
You have to be patient :) a lucid dream will happen soon enough! This good recall is a really good sign, stay confident !