Well done, all tests performed and results clear and unambiguous. Did you check the Fx Return with a cable and touching the tip? That won't give you a shock at all, it's only signal line stuff, you just need to know if the power amp valves are powered, (I'm sure they are not but it's best to test if you can). The fact that the middle two valves don't glow as brightly is not important. It's very common to find that, and it's a valve by valve thing nothing to do with manufacturers. As long as they all glow somehow then their heater voltages are fine. I do reckon this is down to your HT fuse blowing and I would next recommend just checking that out. So you have a decision to make. The power supply fuses are on a PCB incide the amp and are not the ones you can access from outside the case, you have to open up the amp to get to them. Do you want to go ahead and check and if necessary change the fuse if it is blown? It's nothing more than that! Assuming you decide to do that, (read this bit before finally making your decision as it will tell you how difficult the job is), let's go ahead.
Now its the HT! That's almost 400V!!! That can kill and I do mean kill. Keep that in mind but don't worry, to change this yourself is a perfectly feasible thing to do and it could get you into understanding your amp a lot better than you do at the moment. Can you change a fuse in a mains plug confidently? This is exactly the same task except it is a slightly smaller fuse and fitted on one of the PCBs inside your amp. Safety first always so you
ABSOLUTELY MUST do the following before you go any further:
1. Switch off and unplug the amp from the mains completely. Switching off alone is not enough. Take the mains cable out of the back of the amp and there can be no "surprises" in store.
2. Wait at least 5 minutes before going any further, having a cup of tea and watching something on the TV after the amp has been disconnected is great if overkill. I like overkill in safety matters! This is to allow the voltages in the amp to drain down to 0V. The capacitors (caps) store the charge fed to them by the mains transformer and allow the circuitry to tap in and use it in any way it wants to when it wants to. Think of charge like the water in a bucket. When water flows in a stream it is called a current. Hence an electric current is just electric charge being moved through wires or circuitry. When you switch off, the circuitry runs down and stops taking out charge. It is possible that some of this charge and hence the voltage can hang around for a long time. This can sometimes be at very high voltages. The H&K amps have resistors placed across the power supply capacitors to continue to gradually leak away all of this charge gradually pulling the voltages right down to 0V. That must be given time to complete.
Then and only then can you get to the fuse. You simply take off the bottom cover of the amp, you do not need to touch the top cover at all for this work. Turn it over and there will be a series of 10 small screws underneath the amp which you can see are holding the bottom grille panel on. If you remove these you will then see that the bottom panel slides sideways a little to release at each end. If it is very tight I think you may sometimes have to loosen the end cheeks a couple of turns for a touch of slack in there.
Once it is off you can see a bewildering array of PCBs and components in front of you. Don't be too put off by that, you only need to identify a fuse and you should be able to recognise that. I have added a link to a picture which shows the bottom of the amp with the cover off.
GM36 Interior Lower Cavity The location of the two fuses is ringed in red. They are tucked under the top PCB, sitting in holders on the lower PCB so it isn't a simple pull to get them out. As long as you have left time for the voltage to leak away there will be no risk involved. Gently lever the fuse out using something sensible and insulated to your hand if possible, (best to still take precautions wherever you can). Pop a new fuse in there and you're good to go.
The fuse you need is the less accessible one which is tucked further under the top PCB, not the one which is easier to access. You may be able to read its designator, FU1, on the PCB silkscreen, the easier one is FU2. Your FU1 is a 20mm T400mA fuse, (that's 20millimetre size and 400milliamp slow blow) and it
MUST be replaced with only a T400mA fuse, near is NOT good enough. You will need to source these and ebay is littered with them. A box of 10 is about £3 here in the UK, (probably cheaper in the US). I always keep a box of them in my gig toolkit as they are always lifesavers when things go sour. If you have a box of them it makes sense to just change it for a new one and have done with it.
Look at the old fuse. Is it obviously blown? Blackened glass, broken wire, balls of melted metal, these are all clear signs. Unfortunately fuses don't always blow like that. They often break inside the end caps where you can't see it. They can even break in the wire and make contact until they heat up in use then droop apart, coming back together when they cool down. Swapping in a known good new fuse is solid! And if we can see the fuse is definitely blown then that helps too as we know this was the problem.
Have a good think about this and let me know what you decide. You have enough to see what is involved and you know how confident you feel to do this. In truth it sounds a lot more complicated than it really is and its very safe as long as you follow the two rules I set up.