I am no expert, but here are my thoughts.
Auto play when pressing a hotcue.
Thats the point of a hot cue. It plays immediately synced to the beat. If you want it to pause at a point then select the cue you want from the Cue/Loop Call left and right buttons. You will see on the position on the display and press Play when you are ready.
When beatmatching 2 tracks, the red lines (beatgrid) sometimes is a bit off
I've noticed this when I nudge a track and the sync button flashes or goes out to warn you the RX isn't in control of beat matching anymore. But you may be manually beat matching so its probably irrelevant.