It sounds like there is more to the story than what is told here. If you lost your job through no fault of your own, the unemployment investigators would check out all the facts in the case. If you were innocent, you would most likely collect benefits. If, under New Mexico's laws you were in the wrong, you would not.
No. You can only collect from the state that your employer paid his unemployment taxes to, the "liable" state.
You can only collect unemployment benefits from the "liable state", where the employer paid unemployment taxes, so Missouri would not pay you benefits, as you described it.
Depends, probably!
you can only collect unemployment if you were fired not if you quit. They will call your employer to verify.
No. In order to collect unemployment you have to be available, able and willing to work. Restricting yourself to weekends is not considered available,
You can collect unemployment after state disability if you are healthy enough to return to work, and your employer terminated your employment during your disability. The termination can not be related to your job performance.
No. You can only collect from the "liable state" which the employer pays unemployment taxes to, which in your case is California.
Receiving unemployment benefits is not determined by what you want to be, but by your work history, reason for leaving your employer, etc.
no, if you are collecting disability you are still employed
Religious nonprofits have the option to not pay unemployment. If they choose not to pay then the employee cannot collect unemployment. If they do pay unemployment to the state then the employee can collect. Nonreligious organizations do have to pay unemployment, but they can pay the state one of two ways. As a state tax rated employer (same as a for profit company) or as a direct reimbursurer. Referenced from www.chooseust.com
Of course you can collect.
Yes as long as you are not receiving unemployment assistance.