When pullets first start to lay it’s not unusual for them to just drop the first few eggs wherever they are, from the roost or just walking around. It’s like they don’t know what is going on and have no control over the process. When they gain control of laying they will look for a nest and lay there.
It’s also not that unusual for the first few eggs to be weird. They might be soft-shelled or no shell, really hard shelled, double-yolked, tiny with no yolk, tiny with a yolk and no white, wrinkled, funny colors, really weird stuff. The egg laying process is fairly complicated. It’s surprising that most actually get it right to start with both in the eggs being perfect (if a little small) and laid in nests.
It is quite probable that the first egg you saw was an accident from the roost. My suggestion right now is to not panic. Be a bit patient and see what happens. Sounds like you’ve done what you can until you get a better handle on what is going on.