Menton 1 - how do you know the charges are for parking violations ?
Also did you use any Autoroutes? and did you notice the nice little grey boxes and warnings for RADAR ? I would suggest these are probably speed camera related incidents -
In France they will not pursue non Europeans or UK residents for speed camera offences - its too difficult. However you would have been driving a French registered car and the ticket would be sent to Hertz - they fill out your details and send them back to the police etc. at 20 Euro a go this is very cheap - my current lease car provider would charge at least £35($52) - if the police had stopped you for speeding you would have had an on the spot fine 10 times bigger.