P0016 and P0340 check engine light

[KMurray1224]

Bought a 2010 Hyundai Genesis Coupe 2.0T and drove it for about 6 months and then one day when i was leaving work the car took about 5-6 turns of the key to fire and the check engine light came on, took it to AutoZone and they gave me p0016 so i did the run through one would normally do, replaced the crankshaft position sensor and the camshaft sensors but when I bought an OBD reader of my own its showing p0340 and p0016, a lot of forums are telling me that it could very well be the timing chain which I'm hoping its not because that's an expensive fix, the engine turns over but doesn't fire and it sounds unusually smooth when i turn the key, I've also replaced the sparkplugs please help I would like to drive the vehicle again

 

[joegr]

Why guess at it? A compression test is easy enough to do.

 

[KMurray1224]

Why guess at it? A compression test is easy enough to do.

That was my next guess but I did a “test” where I pulled the plugs and cranked the engine and it blew my finger up so there’s something happening there but I do need to do a genuine compression test