if the diode case is only 60C, thats not really hot, if they were over 100C i would start to be worried.
It will not hurt to change them to the bigger diodes.
You should check all the various voltage levels in the power supply, as they are marked on the drawing. +/-15V, +5V, +3.3V, +1.8V
Check all the ic's & other diodes to see if any are hot.
If you are replacing electro's make sure they are suitable low esr types, if you can use 105C caps instead of 85C ones.
C22, C47, C90, C107
I woudl also look at those 10u 16V X7R caps..... you could put a 10u 16V tantalum cap in parallel with the existing ones.
Check the AC ripple on main electro filter caps, if they are not filtering properly, the ripple may "reset" your unit.....