If you used a common BLE solution and followed the reference design then you are unlikely to have big issues with the BLE portion. Even if you do, you would likely only see it in a test chamber to attenuate all the other 2.4GHz signals in your environment.
You certainly should get a VNA or antenna analyzer to match the antenna before doing any paid testing, as that kind of change will invalidate the tests. You could probably do that with a low cost VNA, but something like the Siglent 3.2GHz SSA/SVA models would be a good choice to provide the option for a bunch of RF learning and measurements in the future.
What other things are in the design?
Is it battery or externally powered?
Does it have any DC/DC converters or high current PWM stuff going on?
What about connecting cables that could conduct or radiate stuff?
In general, I'd point you to Tekbox for their low cost RF probes, antennas, TEM cells, amplifiers, and also their testing software to automate measurements. Start reading about them on their website and various reviews here and there, but don't jump in and buy "all the things" until you are sure you can make use of them... speaking from experience
