Increase HM-10 Bluetooth range
It appears that you have a phony HM-10.  This is part of the price you pay for ordering cheap from Amazon.  If you want to increase range, you can make sure that it's not close to anything metal/conductive.

You could try connecting an external antenna, but you'd have to trim the length to get it right.  It's quite likely that the onboard antenna has it's own matching network to match its high impedance to the low impedance of the chip's output.  You'll need to fiddle around with wire length to find out how long to be.  Be careful, you could destroy the product if you overheat the PCB with your iron, or maybe even blow the chip due to a high SWR.