Hi loving, my last Dr's office (which I loved, and I still wish I never had to switch), generally only did that morphology scan (18-20 weeks). At that time I wasn't aware that early scans were SO common, but really I think it's okay. It's fun to see them sooner, but it doesn't necessarily impact your care. I thought of it as more they're just doing what they feel is necessary rather than a bunch of extra stuff. Really those early appts aren't as exciting as there's not as much going on, but that's great that you got to hear the heartbeat. It is really hard to find, and not always even doable, at 10 weeks. Next time it will be easier to find, and, iirc, slower.
The only thing that actually struck me as odd is that they haven't done any bloodwork.
The genetic testing is totally optional, but if you wish to have it done, I think 14 weeks is the latest you can do it. I never did it because it wasn't worth it to me, but lots of people prefer to do it. I'd call them back if you want to have it done because it might be too late when you go for your next appt.
Edit: After my m/c, they did tell me that I could have an earlier scan more for peace of mind. But I was with a new Dr by the time I managed to get pg again. So if you want it done, maybe they will do it if you ask. Sometimes insurance companies will only approve so many scans in a healthy pregnancy also.
I think if you're hearing the hb now, a scan won't be all that valuable at 10 weeks compared to the one they'll do at 20 weeks. I'm no expert, but I think at this point you're already out of the woods for stuff they'd look for earlier.