Is it normal if you do everything else correct but the villager's placement will be stubborn and won't move somewhere else on your 2nd try or whatever? 'Cause I think I read somewhere about that happening. If so, do you just keep repeating the process until they finally move to another spot?
Completely normal. There appear to be "hotspots" around a town that villagers moving in seem to be more likely to put plot in than other places. If you keep making new characters, they should eventually put their plot in a different place.
Last week I was moving Fang into my town and 9/10 resets he put his plot in the same place, but maybe one space up or down or to the side.
I put PWPs to block villagers from moving into certain places in my main town. There are like 26 Flower Beds in strategic places. xD;