Rear left wheel locks up

That sounds like a brake problem. With drum brakes it can be a bad lining that has come apart and jammed or other mechanical failure, When was the last time it had the rear brakes serviced? Another possible issue would be a bad wheel bearing. The brakes would be far more likely though. If it has rear disc brakes then the internal parking brake shoe may have failed in the same was as the other drum brakes.
All of these require the removal of the rear tire and then removal of the drum or rear rotor. Then you can see where the issue is.

Another common cause is the parking brake was applied, but due to a rusted cable, it won't release for that wheel. If you want to check this yourself, you'll need to crawl under the car right in front of the left rear tire. Be sure the car is supported with a jack stand after jacking it up and before going under it. Here's a link to an article that will keep you safe, and able to come back here to visit us in the future:

https://www.2carpros.com/articles/jack-up-and-lift-your-car-safely

To check for a sticking cable, one end of it is shown in the photo below. This is the end that has the outer casing attached to some part of the sheet metal or metal bracket approximately under the left rear passenger's seat. In the top photo, the silver part just left of the blue arrow is clipped into the metal bracket. Once the cable is connected, it will look more like in the lower photo where it is pulled out of the casing a good two or three inches. That is the part to be inspected. Being exposed to the elements, this part of the cable is going to be rusty, or at least dirty. The red bracket indicates that part. If all of the exposed cable is rusty or dirty, it is fully retracted. What we would expect to see with this symptom is the cable is pulled out to the applied position and is sticking there. If that is the case, you'll see a clean or shiny section as indicated by the blue bracket. At the same time you will likely see the front cable is loose and sagging.

If you find these indications, you may be able to get the cable to retract by flexing repeatedly the entire rear cable. This won't work if the cable is very badly rusted, but if it just becoming sluggish, spring tension will get it to move to the released position after sufficient flexing. Please understand that if you do get it to retract that way, that is not the solution to the problem. The only proper repair is to replace the cable. Lubricating it won't help either. Most cables have a lining inside that prevents the oil from reaching the cable, and even if oil or grease did manage to get in there, it would turn the rust into a goo that will cause worse problems real soon. Getting the cable to retract will release the parking brake and stop the smoking wheel, but the problem will occur again if the parking brake is applied.