Welcome. Yes to all the above. You didn’t say how many miles are on the engine and drivetrain. Nor what year it is. So in addition to checking all the above “house” issues, I would also suggest you pull both dip sticks. Make sure transmission fluid looks nicely red and doesn’t smell burnt. If engine oil is black you may want to ask them to change the oil & filter. Does it look like the grease fittings on the steering spindles have been greased? Look behind each wheel for greasy areas (bad seals). I’d also ask the to pull a front and a rear wheel to visually inspect the brakes. Look closely at the taillights. Any water in them? Camp in it on their lot before signing papers.
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