2010 Odyssey burning oil, but no oil leak
 

Hello all, I have a 2010 Odyssey with 197,000 miles. Over the past for months I have had to add engine oil 2 to 3 times a month. I've added about 2 to 3 quarters between oil changes and their is no oil leaks.
Now the engine turnover but will not starts. After a quick research, I check the two of the spark plugs (front driver side of engine) and found oil on both ignition coils, more so on the middle ignition coil.

My question is. what's best way to resolve this issue? Should I consider replacing the engine (keep in mind engine has 197000) rather than rebuilding the engine?

Thanks

If you are sure that engine is needing heavy repair I would get a used engine.