I believe you are measuring the resistors in circuit? You are measuring the resistance of the whole circuit, not the resistor. To measure the resistor, you need to lift a leg out of circuit so one end is open. If it measures good, put back in and solder.
Forgive me for jumping in, but I just finished reading through the thread. Interesting, and you are very lucky to be getting all this help.
One of the reasons Hyperion and GrisPato are telling you to fix the problem before replacing parts/restoring the unit, is that it is very easy to introduce new problems, and if you do a mass swap, you will have a very hard time figuring out where to start. And it is possible to have more than one problem after a mass swap, so you could theoretically replace a part that's bad, but because another part is also bad and gives you the same symptoms, and you would not know that.
By fixing it first, you would then know if you introduce any issues as you restore it. Best to do your mass swap one board at a time, and then test. That way, you will be keeping your areas of uncertainty down to a reasonable level of complexity. The other thing to keep in mind, is that you could replace with a new part, and that new part could also be dead or failing. Just one of the issues techs run into all the time.
A few rules of thumb as you go through this process;
1) never measure resistance with power on.
2) never measure voltage with power off.

3) move wires as little as possible. Moving the wire can cause the old copper inside to break, and that can give you all kinds of intermittent problems.
4) The dim bulb tester is used to get your amp to a certain minimum level of functionality. It is basically used to prevent short circuits from damaging the amplifier any more than it already is. Once the dim bulb tester indicates you have resolved the short circuits, you can then put test speakers on the unit. Always use the dim bulb tester when you may have introduced a short. ie) when you've changed parts or have had your hands inside the unit moving things. Once you are happy there is no short, you can then plug it into the wall in confidence, and the amp can go through its normal power up cycle.
5) Don't solder in shorts.
Sorry, I had to inject some humour. It is how I roll.