Hi and welcome to the BW Boards.
The nice thing about EASY is that it is not a strict schedule, but more of a routine which is more about watching your lo's cues that watching the clock.
From the sounds of it, your lo is not able to fall into a deep sleep hence the reasons she is waking at the 30 - 45 minute mark. You can use Pat/Shh, PU/PD to get her back to sleep or try Wake to Sleep. Have a look at this link for information on using Wake to Sleep.
https://babywhispererforums.com/index.php?topic=64168.0I think that the reason your lo is not falling asleep independantly is cause I think she may be overtired. On the 4 hour EASY you would look at 1 hour 45 minutes to 2 hours A time before getting her to sleep. This includes any Eating time.
On the 4 hour EASY you would be looking at 2 naps of about 2 hours and one cat nap in the late afternoon of about 45 minutes to help your lo get through the evening until bed time.
I would recommend bringing bed time closer to 7pm so that your lo does not get too over tired. You could clusterfeed at 5 pm just before the cat nap and then again at 7 before bed. It is also recommended that the DF is done between 10-11pm so that it does not interferre with her sleep. The DF with the clusterfeed should help your lo tank up.
With regards to introducing solids - the guideline is to introduce them at 6 months, however some do introduce earlier. At this age the solids should only be tasters as her milk is still her main source of nutrician.
A dummy is fine to be used to help her self soothe, although I would suggest that it is only used at naps and bedtime so that she does not become too attached to it. I would watch that it does not become a prop, as if it does, then it could start causing problems. If you find that she is continually waking for it and needing it to be put back in in order for her to sleep then you may want to consider weaning it from her.
With regards to the swaddle, if your lo sleeps better being swaddled, then I would keep it, as it will help her settle better when she goes down for a sleep.
I know how hard it can be getting a routine established, but one the routine is established and you do go out for a day to visit friends etc, it is fine if your routine does not go according to plan, as there is always the next day to get things back on track.
You will find so many sucess stories on these boards, and beleive me, once your lo is set on her routine, she will be a lot happier and less fussy.
Please let us know if you need any other info or if you have any questions.
Paula