In my case, first trip it didn't show a license plate but another number. Car make and model were correct. Name and picture of the driver.
My second trip, as reported, I requested a new trip with the driver of the first trip right in front of the business I was at. I got a driver assigned that was in Av. Tiradentes, north of 27, while I was in Romulo Betancourt between Churchill and Defillo (EPS). a 6 minute drive according to the app, but it took him at least 25 minutes. He took the wrong street and spend 10 minutes searching (which Dominican doesn't know Romulo Betancourt??!). When he finally arrived (this time plate was correct) he couldn't initiate the trip, because his cellphone went dead (as did mine, using the uber app with GPS drains the battery in no time. We waited a while for it to charge, but it seems his charges wasn't that well. We took off and he initiated the trip later, when we were already near my house. When arriving, the battery was empty again, so he could not complete the trip. I didn't want to wait for him to charge again, so I went inside, (to charge my phone). I don't know what he did in the end, but the trip is now registered at RD$0.
I know these are minor flaws, but my experience in the end was not that good due to having to wait for the driver almost half an hour each time (once with another driver in front of me), the high price of the first trip and the non-flawlessness of using an app if you run out of battery. My suggestion to UBER (if they are reading (and they should)):
1. Teach the drivers how to read a map and how to use a smart phone
2. Make sure each driver doesn't only have a decent car, but also a good phone charger.
3. Don't let the time spent in traffic have such a great effect on the final price. In Santo Domingo Traffic Jam, any trip takes 20 to 25 minutes. If they want to compete with the other taxis, make it at least a little bit cheaper.
4. I don't know if the fact that I couldn't use the driver right in front of me was due to a glitch in the system (doubt it with an internationally used platform) or because the driver didn't know how to accept the ride and another accepted instead, but that should be fixed too. I think I read there is a way to add a trip to your trip when you are still not completed, that would help too.
I wasn't able to rate the first driver for some reason. The second got the maximum stars even though he didn't deserve it for not knowing how to read a map and not having his stuff (phone) in order.