@nader1 Do you have a partner who would be willing to wake up with her for the first feed and provide a bottle of pumped milk or formula so that you can get a decent chunk of sleep?
We had similar issues, though we were actually waking her up during that first waking because of poor growth. Because of the growth problems, we eventually switched to pumping, bottles and supplementing so that we could monitor intake throughout the day. Then when we were sure she was getting in enough during the day and her weight was stable, we did let her sleep at night and drop the night feeds when she wanted To. So she slept better, but we have no way to know if it was the formula, getting more food in during the day, getting more food overall, etc. If there are any concerns with weight, I would start supplementing with formula. Anecdotally she changed into a completely different baby around when we did this and 10weeks and everything got much better. We'll never know if it was a coincidence.
I also slept better after just moving her to her own room. I'm a light sleeper and couldn't sleep at all with her in a bassinet next to me.
Ours also had reflux, which gradually improved as she got larger and especially when she started rolling over.