So it's a lot older than previously reported. At that age, it's a lot more likely to not be worth fixing.
That still troubles me. AFAIK, that type of fan doesn't have oil to leak. There is a tiny amount in the lubricated for life bearings, but to have enough that it leaks out, doesn't sound right. And if the fan was still working, blowing a reasonable amount of air that wasn't real hot, I would not have replaced it, until I found out what's really wrong. IF the compressor won't start, the fan is irrelevant.
That's different too. From the previous description it sounded like it was running for 30 mins at a time. If the compressor gets warm, but isn't running, could it be a start capacitor? They are very quiet these days, but I think when you have your head right next to it you should hear something when it's running. Also, any evidence that the condenser gets cold at all? Evaporator gets warm at all?
I wouldn't just swap parts without some basis to think it was the problem.
At that age, depending on other factors, I'd put just junking it on the list too.
If it gets to that level of repair, I'd junk it for sure. It's a basic fridge. What would a new one cost? Another possibility, sometimes folks are selling floor models, used ones, etc on Ebay or CL at prices where it doesn't make sense to throw money into fixing it. I got a floor model at BestBuy for $1400 that regularly goes for $2800.