Hmm, the only LBS near me that rents bikes doesn't put racks on them...
Did they specifically tell you that it would be serviced as part of the purchase? Or did they tell you that the bike has been serviced? If the former, see if they will correct the issues to your satisfaction- that wheel if nothing else. If the latter... it was a rental bike- other than keeping the air in the tires, put lube on the chain, and ensure the brakes work when pressure is applied, it's doubtful it would see any close inspection unless someone reported an issue (which is doubtful, because the reporting party may think they may be on the hook for repairs).