Hi Chris, welcome on VR!

about you first question, first of all check that the data registered on the documents (plate and chassis number) correspond perfectly to the ones on the Vespa you're about to buy.
Be sure that the vespa hasn't been canceled from P.R.A. (the public register of transport means) asking it to the dedicated office.
Then, it's all a matter of your "feeling" about the mechanic conditions: rust, painting, strange sounds from the engine, etc. ...

Be confident, someone else among our experts will soon give you some more good advice

Bye!