Al,

Don't spend money before eliminating possibilities.

Since you report skipping on multiple rear sprockets, but only one chainring, there's a strong possibility that the skipping is happening up front, and not in the back as you report.

Possibly the chain coming from the outside is snagging on a pickup pin of the outer ring, and lifting off the inner momentarily, or as Scott says, riding the face of the outer and tips of the inner.

Or it could be that the new chain is marginally narrower between the inner plates, and sticking on small sprockets as it spools on. Then possibly the lube is enough to stiffen the plates just enough that a bent link comes off the jockey wheel and doesn't spool properly. This is happening only in the slackest chain positions (small.small) and the slightly higher RD cage tension in other combinations is enough to make a difference.

I still say you should experiment with the B screw and push the RD down. If nothing else, it will slightly increase chain tension.

In any case, if you do buy anything else, don't discard what may very well be good parts.