Replace all the paper and "black beauties". The under chassis
electrolytics
are almost certainly dried out and should be replaced. The large aluminum
can power supply elecrolytic is probably at least iffy.

For advice on recapping, see the article at
http://antiqueradio.org/recap.htm .

The SX-62 is similar to the SX-42. You may find the SX-42 restoration
article at http://antiqueradio.org/halli07.htm interesting.

Regards,

Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html