On the face of it, you seem to have everything covered. Yet your rear brakes are still locking up, so something isn't right.
Cleaned & greased calipers properly, checked orientation of spring clips, cleaned & lubed sliding pins.
Greased the calipers? I put red rubber grease on the exposed part of the pistons. Some people don't bother, but in the UK with exposure to grit and salt from the roads, I prefer to clean off a greasy sludge than to have the grit attacking the surface of the pistons. My choice.
The slider pins need greasing but use silicone or rubber grease. Other greases will cause the rubber boots to swell. Did you note the bit about putting too much grease in the hole that the slider pins mate with ? It can create an air lock which pushes the caliper back across to make the brakes rub.
The pad spring. Check those tags on the narrow strip - the part of the spring furthest away from the pistons. Make sure that they are not bent or squashed flat. They are there to keep the inner pad from moving.
You have fitted EBC pads. EBC pads are the same thickness as the front pads - sort of pre-worn ! That means that when you put the pads in, there is plenty of room for them. It is possible to get the pads out of position at the deepest end of the caliper. Look through the wheel spokes from the right hand side to check. For the left hand side, you need to look behind the hose that runs over the stopper bolt. For that, you need to swing the left exhaust out of the way.
EBC don't come with heat shields, and the ST1300 needs them to be fitted - but that is not the cause of your problem.
EBC used to supply the same pads for front and rear. I don't know if they still do. The OEM rear pads have a notch in the tab end of the pad. The front pads do not.
Front Pad
Rear Pad
All calipers have a retainer clip like this:
This is the clip for the rear caliper. It has two parts that are punched from this side which form a ridge on the other side. That ridge is designed to mate with the notch in tab end of the rear pads.
If you have accidentally fitted front pads to the rear, or those retainer clips have been accidentally switched, the pads will find it difficult to move away fromt he disc when the pressure is released. The same thing will happen if it is the front left brake that is dragging - as that will cause the rear brake to be applied due to the action of the SMC when the bike is moving.
pistons returnable with thumb pressure
Did you check the level of fluid in the rear reservoir after doing this ? Although I note that later you released fluid via the rear bleed valves.
All of the above are quite easy to check.
But Lets get onto finding out why the rear caliper is not releasing the brakes.
The rear brake pedal will operate all three pistons of the rear caliper when the bike is stationary. The centre piston is operated directly from the line from the rear master cylinder backwards to the rear caliper.
The outer two pistons are also operated by the rear brake pedal - the rear master cyclinder has two lines attached to it. One of them goes to the front of the bike, applies the front brake's centre piston (first the left, and then the right if pressure is increased). It pumps fluid through the SMC which pushes its way past the primary seal of the piston. (All brake master cylinders allow fluid to flow from behind the seal, but prevent fluid from getting past from the front (where the pressure is). The line then goes up to the proportional control valve (front right of petrol tank), and down to the rear calipers.
Fluid needs to be able to escape from this line so if the SMC primary seal is in its correct position, it exposes a very tiny hole, which allows the fluid to escape. The Rear pedal master cyclinder also has a tiny escape hole (called a compensation port), which allows excess fluid to get back into the reservoir. If the reservoir is full, the excess has nowhere to go, and the pressure in the system cannot be released.
It can be difficult to return the two outer pistons in the rear caliper using just thumb pressure as it has a lot of plumbing to go through and three tiny compensation ports to go through.
The most common fault is that the SMC is not returning properly - often due to corrosion inside the bore, or a blocked compensation port.
Put the bike into neutral. Check that the rear wheel is free to spin. Lie down alongside the bike and turn the back wheel with your foot. Activate the SMC by pushing the front left caliper bracket towards the fork leg. It should only move 1 to 1.5mm, so don't expect it to move like a brake lever. Check that the rear wheel can no longer be turned when the SMC is activated.
Release the SMC and check that the rear wheel can turn again. If it is binding, then there is a pretty good chance that the problem is due to a faulty SMC.
In this case, it needs to be replaced. But do the checks and feed back. You are welcome to PM me if you prefer.
Whereabouts in the UK are you ?