Binding gaps - Acetone will work, but I suggest you buy a green & yellow tube of Duco Cement. It has acetone in it, but it works slowly melting the old stuff back together. I rub the glue & binding with a bare finger until the glue starts to set. When it cures - it will be straight and hard.
Headstock inlay - Order some black C/A glue from StewMac or elsewhere. Works great, and it's very black.
Pits and dimples - The finish that is left is probably pretty thin. You might not want to sand or polish it very much... After all, it IS an old guitar. The world will expect some patina.