I doubt that the Hammarlund will care whether it is feeding a 3.2 Ohm or 8 Ohm speaker.
The audio output stages of these things weren't highly stressed.
I've only ever had a look at one Hammarlund,which was a pre-WW2 "Super-Pro",but I think they are all similar.
Some of the Electrolytics may not be easily recognised as such,as they may be chassis mount units.
I'm not certain if Hammarlund always used a power transformer.
i'm pretty certain that the "Super-Pro" had one,but if this is a cheaper model,it may not-----so be careful!
Google is your friend---------you should find quite a lot on these radios.
P.S Just found this on Youtube:_
It shows that your radio is a lot younger than the Super pro,& answers my question about the transformer.
Re the Electrolytic---I think it is probably a multiple can with several caps inside!