Yes, the chart is the same as during Test, at least the plot command makes no difference between test and trading. Maybe it's an issue of the order of your plot commands? Try a simple plot, like one line. If you can't get it to show, post the script and I'll look into it.
When you hibernate your PC, of course Zorro will lose the connection. So I don't think it's a good idea to put an active trading system to sleep. If it can properly reconnect on wake-up depends on how the broker API handles the situation - my guess is: no.