Welcome welcome welcome
sounds like Eddie has you on the right track 
the DUI HEI is a very good solid unit - set it and forget it 
as far as conversions or concerned - it looks like a standard mallory to me 
and pertronix has a kit for it - I've installed easily over 100 kits and have had ZERO
failures with any of them - that aside the DUI HEI will eliminate any future 
maintenance and is the right choice if your budget allows.  most likely they were stuck shut
and that's why you had no spark -  I will not reinstall points - and haven;t for over 20 years
the carb thing also should be simple (simplified) just a valve and passage for fuel to flow 
let us know your progress, we'll certainly help you go from chump to champ 
 Dan T