Re: Neck turning
Taking your questions in reverse order:
<span style="font-style: italic">1. "Is neck turning worth doing for tighter groups?"</span>
Yes, IF you have great loading skills, and an excellant rifle with a tight chamber (non-SAAMI/Factory). You aren't there yet.
<span style="font-style: italic">2. "I have heard that the necks sometimes will have more material on one side causing the bullet to have wider groups. Is this true?"</span>
Not guite true; it isn't "sometimes", it's normal. But how much runout will have what effect is dependant on the three points in answer one.
<span style="font-style: italic">3. "I'm new at reloading and I wanted to ask about neck turning."</span>
You have a lot to learn and a lot of skills to develop before it makes much difference, if any at all, so that's a complexity best left alone for now. There's a lot more to precision loading than simply turning necks. Come back and ask about neck turning again when you get your reloaded groups into a constant 1 Minute of Angle.
Load, shoot, learn the basics, have fun and give yourself time to get grounded in the fundamentals.