Do try the tilt test, but also try another en bloc; they do wear. Also, try loading the en bloc with the top round on the left instead of the right.
If the bolt isn't picking up the round you could have an insufficient gas problem. Check the gas plug for a crack in the face and make sure that it seats fully. Also, clean the gas port in the barrel. The gas port should be fully visible thru the opening in the gas cylinder. The gas cyl should also be clean and free of excess powder fouling.
Beyond these things, the pistion on the op rod may be undersize or the bore of the gas cyl could be oversize. The piston should gauge .525 diameter. The interior dimension of the gas cyl can be checked with plug gauges. Make sure the chamber is free of powder fouling which can delay extraction and bolt travel. It needs to be cleaned with a brush and solvent.
Early/late bolt release on a loaded clip may indicate a timing problem. This can often be remedied by changing the bullet guide for one with a higher fulcrum. Fulcrum height can be checked with a micrometer; min/max is .175- .183. Again, try loading with a different en bloc.
I recommend the Scott Duff book, "The M1 Garand Owner's Guide" as a helpful reference.
P.S. The rifle must be lubed with suitable grease on all specified lube points