If its coolant under the car you should be able to trace it back to a leak, could be a number of things depending on where the puddle on the floor is, without checking properly you won't know.
Rear subframe isn't that difficult to remove and refurbish. Front and rear suspension struts as Tim pointed out are available from this two sixties site. Dom is a member on here who takes subframes to be powder coated and welded as necessary but postage to and from the UK would be quite expensive.
Handbrake being too high would only either just need adjusting or the replace the compensator with a Mini one, as for any other rust I can't see why you would remove the engine and gearbox.
Dull headlights may just need the covers cleaned properly you should be able to do that better once you remove the ill fitting front bumper