Can CPS write "Unwilling to provide permanent placement" on the report if it's not true?

I would say that based on the statement presented here you are indeed unwilling to commit to permanent placement.

She wouldn’t be trusted to sign over guardianship to you, and guardianship is clearly not necessary because you are the father. Your best bet is...

Restraining order was put on me and I want to see if I can have it removed

If you have only received the temporary restraining order, you can present you explanatory defense at the full hearing. If you’ve had the full...

Can I move with my child out of state before having anything established by court or having it approved by a judge?

Yes - as long as you have her agreement in writing.

Do I need to file for an annulment if my ex’s prior marriage was never granted a divorce degree?

If you mean that he was only divorced in 2018, you need to remarry if you want to be married.

I would like to move 5 hours away to attend school. No custody arrangement. He doesn't help at all.

...adding that he can’t come and pick her up because he has no custody orders and probably hasn’t even established legal parentage. If it’s in the...

It’s up to your mom as guardian to stop him or allow him.

In California how long does it take to get a at issue memorandum court date ?

It depends on your county and whether both parties have completed procedural steps and are actually ready for trial. Then, how crowed is the court...

I agree with other posters but note that there is no legal authority for this notice, and the court won’t recognize it.

...and remind him that getting a new dad-figure may be a positive event; he isn’t losing his dad but gaining a second dad.