Help with DIY dedicated circuit

It is definitely a 30 amp twin breaker with 10/3 (orange) Romex. Do I need to change it to a 20 amp breaker? Is it ok to use the 10 gauge wire with the 20 amp breaker to a 20 amp Porter Port outlet?

So I will change the 30 amp twin breaker to a 20 amp twin breaker. If I install two 20 amp Porter Port outlets and use 1 hot of the Romex 10/3 to each outlet (red and black) sharing the common white wire, will that defeat the purpose of having 2 dedicated 20 amp circuits. By the way, the stovetop was a cheap radiant electric cooktop and was a piece of crap.

pbnaudio....the physical wire connections are not what I'm asking about. I am comfortable with that. I'm asking whether to use the 30 amp twin breaker and the 10/3 cable that is currently in place (too short to reach wall outlet) with a piggytail from a junction box I'll install to the outlet, or I'll have to pay significantly more to have an electrician run a new 20 amp line from the panel to the wall. Also, could I install 2 independent outlets without running a separate cable since there are 2 hot cables with the 10/3? It appears best to change the 30 amp twin breaker to a 20 amp breaker since it will be serving a 20 amp rated outlet.

After all this and watching the YouTube link, I am more confused. If I do the work, I think I will use the 10/3 wire that is in place already, but change the 30 amp twin breaker to a 20 amp single breaker only using one of the hot cables and capping the other on both ends. I'll piggytail either a 10/2 (will it fit in the wall outlet?) or a 12/2 cable from the junction box to only one 20 amp outlet and forget about installing 2 outlets at this time.....or I'll get an electrician....

Thank you mental, that's my plan.

Done! 20 amp breaker. I went with Romex 10/2 from junction box to a single Porter Port outlet which was a little frustrating manipulating the 10 gauge solid copper connections. I decided against 2 outlets at this time since all my gear is connected to a PS Audio P10 Power Plant. Now, to see if I can hear a sound difference.

A definite, noticeable, small incremental improvement with the dedicated circuit. I was skeptical because I thought the PS Audio P10 should be able to produce near perfect power from what comes through most any wall outlet. Voices and instruments float a little more distinctly into position and sound-stage is a little deeper. I was already very happy with the sound of my system, so I never expect big changes with these tweaks. I do think it was worth the effort.