Hi Lightbrite,
The answer to your questions is… yes.
There have been very recent advancements in this field in the last few months. It’s not 100%, but it is with very very high accuracy, including if it’s via the mother or the father.
I tried to post before with a link to a very recent, fascinating shiur by Rabbi Dr. Akiva Tatz discussing your exact questions, but perhaps the moderators didn’t allow a post with a link. [Moderator?]
So if you’re interested then DM me, or I can try to post again, or tell you what to Google to find the shiur.