Howdy. Let me start off by saying I own no basses. That's right, I am a guitarist, so shoot me

I am 17, I take an electronics class, and I wire guitars. Never dealt with basses before.
My first question, can anyone tell me what this is?

The bridge pickup is gone, the neck pickup is all broken and corroded. If I knew what this bass was, finding a neck pickup that fits would be easy. I do not want to rout into the body or cur into the pickguard.
second question. Are most basses wired in series or parallel when 2 single coils are active?
I am a Brian May fan, which is where I got this idea.
Because the bass has 2 individual switches, I thought that i could wire them in series, straight to volume and tone then to output. Would it sound better if the 2 pickups were wired in series or parallel. This bass is for my friend and bassist in my band. He plays a BC Rich Mockingbird, but the buzz makes us all very mad, which is why we want to take his old broken bass and reverse wire reverse polarity. I have also changed strings, adjusted action, and truss rod on on another friends bass. Jazzmaster Blacktop.
So my questions, What is that bass, where can I find 2 single coil pickups for it, can I get one of the reversed, and series or parallel?
Thanks!