I'm having trouble seeing where the existing antenna is. Are there any conductors attached to or printed onto the inside of the plastic case?
I would like to see the existing antenna to give an educated guess about how much improvement is possible by connecting an external one. An internal antenna might have a gain of around -3 dBi on average, and possibly worse. Using an external antenna, you can shoot for roughly +5 dBi with something good, and suffer only 1 to 2 dB loss in a short cable. So the net signal improvement available might be on the order of 6 dB, which is not large, but still may be noticeable and perhaps worth the effort. I'm guessing that adding 6 dB of signal might be about half a bar on your signal strength indicator. It also might be worthwhile to run a longer cable despite the added losses. Getting some height on your antenna often pays off, especially at these frequencies.