Yes it does , the law is quite clear in this matter .
The op has no contract with the garage
This was a private not business transaction , further limiting any scope of claim
The seller wasnt aware of any faults before he sold the car , the purchaser never asked about recent repairworks or had the vehicle inspected
The seller cant sue because he has suffered no financial loss and further didnt own the vehicle when the problems arose.
The op could sue the seller however he would need to show the seller was aware of the faults and that he failed to disclose such faults when asked