the brine hose connection leaks while in refill position; I've put the ferrule the right way (narrow side towards the connection) tightened the nut a bit and leaks while in refill, then tightened a bit more with a wrench less water leaks but still does. How tight does the brine hose need to be?
Can't seen the fitting from the side but it appears the nut may possibly be bottoming out against fitting. If so, the fitting, compression ring and ferrule should be replaced. These should be available from HD or other local hardware store.
In replacing the fitting, or in reinserting the tube into the same fitting, recut the tube squarely, cutting away sufficient tubing to eliminate burrs, scratches or other tubing scars from the prior installation, that maybe the cause of leakage.
A visible water leak signifies there will be an air vacuum leak during Brine Draw, thereby preventing brine from being drawn from the brine tank.
Whenever tightening the compression nut around the brine tube, always use two wrenches to prevent over tightening the fitting into the control valve socket, which may result in the socket housing becoming cracked.
drain hose connector leaks (not while in backwash or other cycles) after all the cycles have been done,
There should be no leakage from this fitting. Since the rubber drain tube appears to be directed upwards, that section of drain tubing will continue to remain filled with water.
Suggest inspecting the control valve housing socket to ensure there is no crack in the housing. Unlikely to occur from a plastic barb fitting, but there is always the possibility of a manufacturing defect.
If the housing socket is good, before further tightening the barbed adaptor, loosen the drain tube gear clamp to allow the fitting to turn without causing the the drain tube to become twisted.
Since this is a softener, what diameter resin tank is your 5600 installed on?
Your label specifies a 7.0 GPM Drain Line Flow rate restrictor is installed. This will be inappropriate for any softener equipped with a 5600 control valve. The usual appropriate drain flow rate for a 10" diameter (typical 1.5 cubic feet (ft3) of resin) is 2.4 gpm, or 3.5 gpm for a 12" (2 ft3) tank.
I do not see a meter cable protruding out from the rear of the control valve cover. Without it, the control valve will not know how much soft water is measured by the meter before regeneration is to occur.