You can pretty much figure every cap in that radio is bad - some may not matter much but some of them will overload the power transformer if they are leaky (and they ARE!) There is no fuse, unlike more modern equipment...
The Philco service bulletin for this set is on my web page, at
http://www.audiophool.cjb.net/Misc/philco_38-10.djvu
You'll need the DjVu browser plug-in from lizardtech.com to open or print it. Schematic, parts list, alignment.