Should the AKC allow the Judge's to know who is eligible for the owner handler Series by having an * near the name in the Judge's Book

No

Yes

No, but they should have a separate sheet with the names of all the dogs eligible.

I don't think it matters one way or the other. If a judge will be swayed by (*) by an entry number, he/she won't be judging the dogs anyway.

The judge should be judging dogs not who owns them

in the end it will make no difference