For sticking valves, you can also rev the engine by hand and sloooowly dribble Rislone down the carb. This will get some on the intake valve stems and clean them and the guides out. But don't do this in the garage or if you neighbors are greenies..... the smoke of the combusing Rislone will be tremendous. Kids will love it, and you won't have mosquitoes around for a while LOL
Be aware that all the 10W30 and lighter weights, synthetic or not, have had the ZDDP levels reduced so you need a ZDDP additive with the nos-tcok cam that you have. Here is a link to a chart of Mobil 1 products that lists the ZDDP levels; you need to be at 1100-1200 or more for your hydraulic flat tappet cam with the levels of lift that you have.
To be sure on the lobes, you either need to look at the cam directly (intake off) or accurately measure rocker movement or valve lift after insuring that all the lifters are holding oil pressure. The only real sure way is to pull the intake. (Do I keep saying that? LOL)
The engine does not seem to be firing perfectly evenly in your audio, but there are a number of things that could be. The idea of the base circle being low on the new cam still is in my mind, and you could just simply have a pushrod(s) that are a bit loose when the cam lobes are on the heel back in the back on that side. Mopar blocks are known to often have slopes up and down on the decks, and you could have a combination of a low base circle on the new cam with a high deck in the back on the driver's side that results in no preload on some of the lifters back in that corner. The only way to know for sure is to pull the intake and measure the lifter preload all over.
Clutch are: Loose clutch over bolt or a cracked pressure plate housing.
Distributor: Maybe a worn hex on the bottom of the shaft....man, that's a REALLY long shot....I'm just thinking it is back in that corner.