bygshoe

My wife and her two children K2's left Philippines with no problems. They'll need absolutely nothing except of course visa, cfo and passport.

Yes mom can register her daughter while she is at her seminar. The registration is done when she goes to get the sticker, bring her daughters passport w/visa, child's birth certificate and complete the registration form, and it would be helpful to have a few pictures of mom and daughter together.

1.
2. Children 12 and above need to attend PDOS at CFO. Under this age they only need to be registered at CFO to get the sticker http://visaconnection-philippines.com/index.php/2-visa-process/5-cfo-gcp-seminar
3. No issue.
4. Not needed
5. You can get it but not necessary http://www.dswd.gov.ph/faqs/how-to-secure-solo-parent-i-d/
6. No matter... mother has sole custody.
There are no additional steps required for the K2 child. Mother has sole custody of the child. Burned $150 for nothing. I know of hundreds before you with K2 that are now in the USA..
A solo parent, as defined by RA 8972 is:
A woman who gives birth as a result of rape and other crimes against chastity even without a final conviction of the offender, provided that mother keeps and raises the child. Parent left solo or alone with the responsibility of parenthood due to the following circumstances: a. Due to death of spouse.
b. Spouse is detained or is serving sentence for a criminal conviction for at least one (1) year.
c. Physical and/or mental incapacity of spouse as certified by a public medical practitioner.
d. Legal separation or de facto separation from spouse for at least one (1) year, as long as he/she is entrusted with the custody of the children.
e. Declaration of nullity or annulment of marriage as decreed by a court or by a church as long as he/she is entrusted with the custody of the children.
Unmarried mother/father who has preferred to keep and rear her/his child/children instead of having others care for them or give them up to a welfare institution. Any other person who solely provides parental care and support to a child or children. Any family member who assumes the responsibility of head of family as a result of the death, abandonment, disappearance or prolonged absence of the parents or solo parent.

I think there may be something here you're not telling us... you may be having constant arguments with her about whatever that might be prompting her to behave the way she's allegedly behaving.
My wife is a firecracker and changes moods faster than I can change my underwear, but I know she loves me and cares for me regardless of our constant arguments. In her case, what she earns at work is hers and hers alone and I don't intrude in her finances, because she sends money to her parents in the PI and spoils her two children here. I have learned not to expect her to share in the bills and contribute to the rent for now (mainly because her paycheck is minuscule compared to mine), and her penchant for shopping for new clothes has often been a sore point for me. But I have learned to weigh in the good with the bad, and in my eyes she has way more positive points, and that's what I think about every time I have the urge to start an argument.
Granted, she cooks and cleans the house, albeit not as often as I want to, but she does her part and I always compliment her and praise her on her cooking. She is visibly happier when she talks to her parents and siblings on Skype than she is with me, but that is a given since she knows them way longer than she has known me.
I guess my point is to understand where she's coming from. I don't blame her for wanting to go back to the Philippines, it's another given for those who relocate to another country without the family they grew up with (not just for those from the Philippines), but I guess the tighter the family relationship, the stronger the desire is to reconnect, and Philippine family structures are one of the tightest in the world.
Ultimately the decision is up to you. You have control over the situation and you know best what the current circumstances are. Everyone wants to be happy. She wants to do what makes her happy, so I suggest you do the same as well.
Good luck.