If you go back through the posts on this site you should find several videos from an American mower repairer, showing the 'short version' of how to do a simple check-out on a vertical-crankshaft Briggs on a mower. Most of them will apply equally to your engine. It sounds as if your rewind starter has been sticking in the engaged position and doing itself a whole lot of no good - the scream most likely comes from the over-running (sprag) clutch. It is a matter of removing, dismantling and cleaning the starter parts, then reassembling. You said you have lubricated it - cleaning, deburring and lubricating would probably be a more reliable cure. You may also have harmed it by running it while it was stuck.
Best guess as to why it happened right after you repaired the ignition is that the rewind starter did a lot of work while you were diagnosing why the engine didn't run.
Last edited by grumpy; 26/12/09 07:13 AM.