Determining the correct state for taxes and deductions after double relocation.

[noviceattax]

Context:

1. I was working for the company A in New Jersey and was living in New Jersey until date x.
2. From date x + 1, I started working for another company, say B, in California and moved to California.
3. Company A sent me final paystub on date x + 4 which included:
   1. Final wages (last few days), $W, for the work I did for A in NJ while living in NJ.
   2. Repayments I had to give back to company A, say $R.
      1. In the middle of this year I moved from IL to NJ. In IL also, I was working for company A only, at their IL site.
      2. This repayment of $R was of the relocation benefits they gave me for the IL to NJ move. I repaid the entire benefit they gave me (including the commission of the relo management agency).
   3. Payout for unused accrued PTOs, say $P.  I accrued PTOs while I was in NJ as well as while in IL (this year only).

Question:

1. To whom do I need to pay the state taxes on the $W. NJ or CA or both?
2. To whom do I need to pay the state taxes on the $P. NJ or CA or IL or a mix?
3. Will I get some tax deductions on $R? If so, from which state IL, NJ or CA?

Please feel free to reach out for any clarification or if you need more details.

[Critter-3]

Duplicate post. 

[noviceattax]

This is more clarified version of my previous post. I am unable to delete the previous one.