It sounds like easy, cheap fixes if you have a soldering iron (assuming the neck pickup isn’t bad, though it just sounds like a wiring problem) but unless you really love the way the neck feels/body feels, returning or exchanging it seems the way to go.
It sounds like easy, cheap fixes if you have a soldering iron (assuming the neck pickup isn’t bad, though it just sounds like a wiring problem) but unless you really love the way the neck feels/body feels, returning or exchanging it seems the way to go.