Motor manufacture in China is a bit strange. There's a lot of sharing of components and technology, which means that you can get identical looking motors from different manufacturers. The first letters in the long ID stamped on the motor that on your one begins with B identifies the maker, but I don't know how to decode them. Some OEMs don't want the motor manufacturer's logo on their motors, so it's not unusual to see the same Bafang motors with and without 8Fun written on them.
You need to think about the speed and power you want from the motor before deciding on the battery. The cheaper 8.8aH bottle batteries are OK for low power. You can get bottle batteries with Samsung ICR18650-22P cells, which are a lot better, but not so easy to find. Bottle batteries make a very neat installation, especially if you get the type with integrated controller in the base. 12S lipos will get you about 20% more speed, and current will never be a problem. 5000mAH will get you at least 12 miles of reasonably hilly terrain. It's always best to have more lipo than you need because you want to keep clear of the low-voltage cliff.
You need to think about the speed and power you want from the motor before deciding on the battery. The cheaper 8.8aH bottle batteries are OK for low power. You can get bottle batteries with Samsung ICR18650-22P cells, which are a lot better, but not so easy to find. Bottle batteries make a very neat installation, especially if you get the type with integrated controller in the base. 12S lipos will get you about 20% more speed, and current will never be a problem. 5000mAH will get you at least 12 miles of reasonably hilly terrain. It's always best to have more lipo than you need because you want to keep clear of the low-voltage cliff.