I'm no expert but even someone who really knows their stuff would be hard pushed to put a value on that watch with the details given. BTW one of the sub-dials is probably the 'second-hand'
I would be very wary and although Jaegre Le Coutre are not one of the main targets, with so many fakes around EXAMPLE HEREI wouldn't touch anything without full papers etc. or at the very least authenticated by an authorised dealer. I can't see what you mean about the hands as my NHS computer screen is so old I can't make out any fine detail.
Also bear in mind a service on a watch of this calibre with something like a Valjoux 7750 movement can run into £100's.