* Seized or sticking caliper on the right rear: This is the most probable culprit. A seized caliper prevents the brake pad from releasing fully. Under acceleration, the slight drag from the stuck caliper on the right rear causes the car to pull right. During braking, the left side is working harder to compensate, but the sudden release of the stuck caliper on the right causes the jerk to the left and the burning smell.
* Worn or damaged brake components on the right rear: Severely worn brake pads or a damaged rotor on the right rear could also contribute to the pulling and jerking. The uneven wear or damage would cause inconsistent braking force, leading to the described behavior and potential burning smell.
* Differentially worn tires: While less likely given the specific mention of brake smell, significantly worn tires (particularly on the rear), especially if the wear is uneven between the right and left rear tires, could *contribute* to a pull during acceleration or braking. However, this alone is unlikely to cause the sudden jerking left during braking.
It's crucial to have this checked immediately by a mechanic. Driving with a seized caliper or severely worn brakes is dangerous and could lead to a loss of control, particularly at higher speeds. Ignoring the issue could also cause further damage and expensive repairs. The burning smell is a clear warning sign that something is seriously wrong with your braking system.