Yep; concur. Those two multi-section 'can' electrolytic caps are probably bad (at least one bad section, I bet) and causing excessive current draw. Is the 5Y3 red plating? Once the caps are straightened out, I'd get a 5U4G to replace the 5Y3. The 5Y3 is about half the current rating of the 5U4G and max voltage is about 100 V less for the 5Y3, if I recall correctly. With two 6L6 output tubes, you'll need the capacity.
Also, it would also be desirable to cut the lead length down on those new coupling capacitors (mainly the big orange drop--I think it's 0.1 uF) to the minimum required to avoid noise, oscillation, etc. Also, be sure you have the right fuse installed in the holder? Schematic doesn't show one (!), but one is installed. If there's no value shown on the chassis (or your schematic), something like 2-3 amp slow blow is what you want.
Not sure what your experience/comfort level is for working on tube gear--beware very high voltages that can give a bad shock or even kill you if you get across them. If you don't have this level of experience, better to have it done by someone who does. Best of luck with the amp--let us know what you find out and do!