Today's (yesterday's) Seekers may be found here:
http://www.slate.com/articles/life/dear_prudence/2011/09/dear_prudence_my_abusive_mother_haunts_my_dreams_.single.html
The Sage wishes to apologize in advance for any typographical errors in the transmission of the Sage's Wisdom, as the Sage's advice is being typed by a Minion whose skills are quite atrocious. [That's "good", right? - the typing Minion]

1. The first Seeker is dismayed at her physical likeness to her poor excuse for a mother.

The Sage can but point out that physical similarity is no indicator of likeness in character. People have clones beloved pets, only to find that while the pet may look just like Muffy, it has none of Muffy's endearing personality. The Sage also recommends looking into lucid dreaming, so that you might take control of your dreams and finally tell your mother - at least in your mind - what you really think.

2. The second Seeker managed to burn many bridges at work, and is wondering how to rebuild them.

The Sage has just one word for you: Transfer.

The Sage would wonder if you are not perhaps one of the previously dismissed Minions, except that you have managed to remain in your current position despite your surly attitude.

3. The next Seeker has found the perfect woman, except for one slight issue.

The Sage asks how someone who is not attracted to you can be the perfect woman for you, and encourages you to reconsider your policy of complete truth with your significant other. The Rotarians have a good set of rules to consider before speaking. You might wish to adopt it.

4. The final Seeker is at loggerheads over the future of their minor children in the event of their mutual and simultaneous demise.

The Sage notes that your in-laws have already agree to the possibility of becoming your children's legal guardians, and wonders whether you have also approached either set of grandparents to ask whether they, too, would consider this possibility. It may be that neither wishes to accept this responsibility, in which case your argument would be moot. Your attorney would likely recommend a back-up for whomever you name as guardian.