Quote Quoting italiana1
1. Will this affect the process of getting my green card?
If you go out of status, then yes. If not, and you have appropriate sponsorship, probably not.
Quote Quoting italiana1
2. Can my boss dismiss me after a certain period of time?
If you are unable to fulfill your job duties, and exhaust any medical leave available to you, it is possible that your employer would release you. Your employer may have to try to accommodate any disability, if your condition is covered by the ADA or a similar law, but they may not be able to do so while offering you employment that qualifies for H-1B status. You should consider consulting an immigration lawyer.
3. Can I file for SDI (california state disability)?
According to this site,
Quote Quoting Residency Requirement
There is no proof of United States immigration status required for application to SDI.


An applicant may live outside California at the time the claim is filed and be SDI eligible if the applicant worked in California and paid into the SDI program during an approved benefit base period.