CA state tax, CASDI and moving expense

I started a new job in 2022, and the position is in CA. I received the moving expense lump sum payment from the company, but I didn’t move to CA in 2022, and worked completely remotely in another state. I’ve never been to CA physically in 2022 since I started my job. My W2 shows CA tax withholding and CASDI withholding.

 

  1. Can I claim my CA tax withholding back? If so, how should I do this in Turbotax?
  2. Can I claim my CASDI withholding back? If so, how should I do this in Turbotax?
  3. Moving assistant company said I need to move to CA in one year since I started my job according to the IRS rule, but I can’t get more information about this rule. If for some reason, I don’t move to CA in 2023, what tax problem I have to deal with?
  4. If my company ask me to pay back the moving expense lump sum money in 2023 after I file my federal tax return, but I have already paid the federal tax for this amount of money in 2022, how can I claim the paid tax back?

Thanks!