Agreed. I'd change the AF Coupling cap, ie THAT one, on sight. After that you should be OK to test it and see what's what.
Other wax or Hunt's capacitors may seem OK but you can bet that they're on their last legs and if you do leave any alone they'll fail as soon as you've put it all back together!
Running it through a lamp at first is a good idea and if this starts to glow brightly there's something wrong so switch off quick. See
http://www.vintage-radio.com/projects/lamp-limiter.html
- Joe