My assignment is to identify how many planets are in this curve and what the orbital period is. I'm just confused on the way it looks, as most curves I've seen up to this date are more smooth and connected in appearance
It would have been be great if you had shared the original data. As @AtmosphericPrisonEscape mentioned it could well be that you are seeing only some kind of aliazing effect in the plot, i.e. the underlying data actually looks the same for all four light curve dips.
If you are working in Python, you may also look e.g. at the PyTransit github project which seems rather well maintained. I am not affiliated with the author nor have I tested it, but it is worth a try.