I've had the shutter stick open on mine once with a film in it but it seemed to sort itself out after I removed the film. If you are really careful you can rewind the film and leave the leader out so that you can reload it again or you can recover the leader with a piece of old film. That said it's ok to take the bottom plate off with the film in and IIRC that gives you access to the linkage between the winder and the shutter. Just a good old blow-out in there might be the place to start.
Surely not, at least pass it on to someone who might be prepared to fiddle with itLooks like it might have to be binned.
Love the fact that it's SO small and handy but how much would it cost to have it mended? I got a Pentax S1A from London Camera Exchange in superb nick for £70 including a super takumar f2 55mm lens - NO batteries to mess with.
I wasn't suggesting you paid to have it mended but if you are going to bin it could you not just pass it on to someone who might tinker with it?
As for repairs and work of that nature, my first port of call is always Miles Whitehead. There's been some talk lately on here of him approaching retirement, possibly even narrowing his filter for what work he takes on (iirc?), but he's absolutely worth making enquiring with in the first instance.
