Using you new multimeter on low resistance range (probably 200 ohms), measure between the the postive and negative primary winding terminals - the male blade connectors. You should see around 4-6 ohms.
Next, using the 20K resistance range on the meter, measure between either of the blades and the output high-tension connector (where the plug lead goes in on the top), and you should see between 5-6 Kohms.
Next, on highest resitance range (probably 20Mohms) measure between either blade terminal and the outer metal casing. You should see infinite resistance (1 followed by blanks on the meter screen). Don't have your fingers touching the metal probe ends during this test, as your body resistance will affect the reading.
If any of theses tests show abnormal readings, come back to us with the readings and we'll advise from there.
Coils can break down with internal shorted windings, overheating due to loss of oil (used to cool the internals in some coils), and dents in the casing causing shorts.
Per Ardua Ad Astra
(Through difficulties to the stars)