Unsure what the question is.
I can not think the last time I booked an official appointment. When I'm ill I do not need to be told I have to stop being ill for a few weeks until a system that favours the doctor allows me to be ill, so I have no idea if two weeks is normal, but I suspect so. (Horrible system, in my day one turned up ill, waited ones turn, and saw the doctor). I always phone in and try to get a slot on the morning. Tends to work,
As for the size of your potential new surgery, well I'd suspect there is more than one surgery in the area, I know there are three near me. So it is possible you found the small one. What makes me wonder is what half of a GP turns up for surgery on their day in.