Traction cable I need to install a new traction cable.

There is a large black plastic nut at the end where the cable attaches to the mower transmission. Turning it clockwise tightens the cable (engaging traction bar is tighter) and counter-clockwise is loosening the drive. If the cable is a little too long, you have to tighten it more.

1. Remove the belt cover with a socket wrench. Slide the belt cover off and set it aside.
2. Remove the two belt cover stud bolts with a socket wrench to get to the auger belt guide. 3. Remove the belt guide with a socket wrench.
4. Push down on the belt tensioner pulley with your hand. Remove the old belt and set it aside.
5. Install the new belt and release the belt tensioner pulley to tighten the belt.
6. Re-install the belt guide with a socket wrench and tighten the bolt.
7. Re-install the two belt cover stud bolts and tighten with a socket wrench.
8. Re-install the belt cover and secure it with the cover bolts. Tighten the bolts with a socket wrench.

I pulled the following from a snaper model similar to yours.
The snowthrower has two drive belts, one for the traction
drive-which transmits engine power to the wheels, and
a second for the auger drive-which transmits engine
power to the auger mechanism.
Each of these drive belts are of special construction and
should be replaced only with genuine replacement belts
which match the original equipment belts. These are
available from your dealer.
Traction Drive Belt Replacement
I pulled the following from a snapper model similar to yours. Believe it should help.

1. Disconnect spark plug wire and fasten it away from
the spark plug.
2. Remove belt cover. (Located in back of the discharge shute).
3. Pull the traction drive belt idler pulley arm (See
Figure 24) away from the belt to relieve tension, and
slide the belt off the engine pulley.
4. Slip the belt off from around the traction pulley (See
Figure 29) and pull the belt out of the unit between
the auger pulley and the traction pulley (the lower
cover need not be removed for this step).
5. Reverse the procedure to install the new belt. Be
sure there are no twists in the belt, and that the belt is
properly seated in the pulley grooves.
6. Replace the belt cover.
7. Start the unit, and check the traction drive for proper
operation. See "Traction Clutch Cable Adjustment"
for adjustment procedures.

There are also several videos on YouTube on changing snowthrowr belts. (Didn't see one for your blower, but most similar and should provide a good starting reference).

if the tyres that u got fitted are not the same all round that would cause the problem

I have a 2011 Chevy surburban, I just had new tires installed and when I left, the traction control suddenly triggers sporatically. do you think this is abs/ traction control is having this issue?

if you have a code reader available,reset trouble codes,if that doesn't work you probably need to have it checked out.they may have dis lodged a sensor when they changed the tires.unless you radically changed tire size it shouldn't be the tires

Its a bit of a pain - but with ordinary tools, it can be done. Get the replacement cable first. You can see how the bottom spring wraps around the cable with a universal joint sort of arrangement. Remove the belt protector (three screws from the top deck; if you have a battery compartment, that will temporarily need to go. Release the old cable from the top and middle attachment points, then unhook the spring from the traction lever. You might need to destroy the old cable lock to the mower deck to remove the old cable. Remove the plastic cup next to the cable where it exits the mower deck. Replace parts in this order: New spring/cable to the traction lever, snap in plastic interface to mower deck, small plastic cup top cable attachment, then middle attachment. You might need to move the middle attachment after you give it a test run. Replace belt cover and battery compartment if necessary. A lot of steps but, except for a difficult fit to get the spring hooked up, nothing is really difficult. I paid about $30 for the replacement cable from a local dealer; Overpriced, but I wanted to get the job done today.

Sounds like you may need to replace the pulley as well. It has likely worn out of specification.

I recommend that you contact your nearest authorized service center, or contact Toro directly for assistance.

I trust this information proves useful.

No you don't need any transmission work, the parts you listed are part of that. You either have a bad wheel speed sensor or more likey a bad connection at one of the sensors. Sometimes the cables get damaged. The cables are supposed to remain flexible but sometimes the wires inside break. These cables go from the wheel speed sensors and feed information to the ABS system.

To adjust the self propel cable, loosen the cable
clamp, pull the cable downward to remove all the slack
then push the cable jacket up 1/8”
and secure with the cable clamp
good luck

Go to toro.com then customer care then manuals and parts type in model then find owners manual to download.