I think the chart on p9 of the manual could be used to work-out the inductance of coils E, F & G; this might be a useful short-cut.
For example, 100pF in // with coil E resonates at 26 dial divisions; the frequency will be the frequency corresponding to coil D at 26 divisions.
The inductance of coil E can then be calculated.
A similar procedure would find the values of coils F & G.
Once you have the inductance of one or more coils, the value of the variable capacitor can be calculated from the dial markings; the inductance of the remaining coils can then be calculated.
I think this should work.
The pin plugs may be microphone - connector standard like this;http://www.altronics.com.au/index.asp?area=item&id=P0949
(They have a "proper" designation number but I can't remember it at present
I have converted female connectors of the kind shown in the link to male connectors with brass pins inserted into the female receptacles and held with epoxy; this was for a cable for a Boonton power meter which uses a two-pin connector of this kind but with reverse gender.