Burning smell Shortly after I turn on my blender the motor starts to smell. If I crush for example ice, smoke will come out. We've opened the motor but there is no obvious reason for the smell/smoke.

Smoke sounds like the motor is burned out, or possibly just overworked. You could let it rest for 15 minutes and try again, but be careful, as the insulation on the wires could have melted.
Smoke in appliances is usually a bad sign!

It means it's working very hard,
I suggest to put items that are thick in first and blend them then add the other ingredients after , the smell is the coating on the motor getting hot , if you see smoke coming out, drink your smoothie wash it out and take it back for a new one.

Sounds like motor is burned out. Very few parts left for that model, nothing electrical.
That model is no longer listed on their support site http://brevilleusasupport.com/

Sounds like you have wrecked something, you just place the beaker on the motor base, no turning required.

That burning smell is kind of a death sentence. At least a switch or more likely coils are burnt out.

Obviously the motor winding is burned out. it needs to be rewound. This is can be done only by repair men who regularly wind motors.

All blenders have one thing in common. They draw more than rated current when running slow. If u continued using it inspite of noticing low speed then the it results in burnt motor winding as is the case now.

Also the blenders should not be run on no load, which will cause meahanical damage to fan and bearings.

You can return the item for a store credit but not cash. This I know for sure as I have done it myself.

The motor most likely burnt out. Happened to mine to.

look for rocker switch left side of machine near bottom

Check the motor brushes. They may be worn out. Also, since the 1980s, many electric motors have a thermal fuse in them. This unit "blows" when it gets to a certain temperature.

This fuse looks like a 22-caliber bullet and its pointed end is usually colored. If you have an ohmmeter or continuity checker, see if current will pass through the fuse. If not, you can try to replace it. Most times, the fuse is attached with crimp-on connectors. Replacements can be soldered in, if you put a clip-on heat sink between the fuse body and the soldering iron.