If you haven’t read my soldering guide yet I highly recommend it, there’s a lot of tips and tricks in there which will make your life a lot easier when soldering and wiring!
What beeps does the ESC make? There’s a handy chart in the BLHeli documentation to illustrate what the beeps mean, I’ve pasted it below. That should tell you if the ESC is getting the right signals from the receiver or not. Do the drive motors run ok? Do you have a servo that you can swap in place of the ESC to check the functionality of that channel?
(note that if the ESC is in bidirectional mode it will play both the arming sequence start and end tones as soon as it detects a signal in the middle of its input range).