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1. Your obligation is complete when the government physically receives your papers with the proper filing fees. After that, if they delay in creating the receipt it's really not your problem. As long as you can show that the papers were sent and received by the government. 
2. The answer is No. Let's say that they did leave, then they’re I-130 would still go on but their I-485 would be abandoned and you would have to convert the case to consular processing. 
3. They are automatically eligible to stay because once their I-485 is timely filed, they are considered to be an authorized period of stay. They cannot be illegal as long as the I-485 is pending.  
 

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Note: Unless the context shows otherwise, all answers here were provided by Rajiv and were compiled and reported by our editorial team from comments, blog and community calls on immigration.com. Where transcribed from audio/video, a verbatim transcript is provided. Therefore, it may not conform to the written grammatical or syntactical form.

The DSO could assist you in this matter and figure something out. But be prepared to leave the United States and secure a job if possible. Keep applying for an H-1B and if you ever get through the lottery and you get an H-1B approval make sure that you reveal in your visa papers that there was a violation. Be truthful about it. Remember this is not a ground for denying your H-1B. Therefore H-1B is definitely a possibility, but getting back the student status may be difficult.
 

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Note: Unless the context shows otherwise, all answers here were provided by Rajiv and were compiled and reported by our editorial team from comments, blog and community calls on immigration.com. Where transcribed from audio/video, a verbatim transcript is provided. Therefore, it may not conform to the written grammatical or syntactical form.

1. First  of all, unless you are traveling you do not have to renew your visa. If the visa expires while you're still completing your course, it's absolutely no problem. 
2. Technically, once your F-1 has been granted, any country should be able to renew it.
3. It is not necessary for both your queries.
 

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Note: Unless the context shows otherwise, all answers here were provided by Rajiv and were compiled and reported by our editorial team from comments, blog and community calls on immigration.com. Where transcribed from audio/video, a verbatim transcript is provided. Therefore, it may not conform to the written grammatical or syntactical form.

1. Yes. STEM OPT people can also have more than one concurrent job, but they have to work with their DSO's to make sure the paperwork is filed properly.
2. Yes, as long as there is a good faith intention to join any one of these employers who can get your green card.
3. Yes, you can. You can have  multiple H-1B approvals living together in the same space.
4. It does not impact the speed of the green card. What is most important is the company's financial solvency.
5. Remote work is possible for both OPT STEM, H-1B and Green Card jobs.
 

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Note: Unless the context shows otherwise, all answers here were provided by Rajiv and were compiled and reported by our editorial team from comments, blog and community calls on immigration.com. Where transcribed from audio/video, a verbatim transcript is provided. Therefore, it may not conform to the written grammatical or syntactical form.

1. The answer is No. It is only required if you travel outside.
2. It is a good idea to check with the consulate and they will respond through emails. 
3. Absolutely.
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Note: Unless the context shows otherwise, all answers here were provided by Rajiv and were compiled and reported by our editorial team from comments, blog and community calls on immigration.com. Where transcribed from audio/video, a verbatim transcript is provided. Therefore, it may not conform to the written grammatical or syntactical form.

1. Absolutely 

2. I doubt it.

3. No she cannot. That is one thing husband and wife cannot transfer to each other their priority date.

When there is no connection between two companies, and they are not colluding to help somebody get an H-1B visa or increase their chances of getting selected in the H1B lottery, multiple companies can file. Interestingly, even different units within the same bigger company could file if they have a genuine need and not face any issues.

Sure. I don't see any problem for you, the employer should watch out for themselves.

It can be done, but H-1B is not complicated that's absolutely straightforward.

1. She needs to file for a change of status before she turns 21.

2.  I believe it is two full semesters one academic year, double check that with the DSO.

You can work if the company is non-profit. There is no issue as long as you do not get paid in any way. If it is a for-profit company you could have a problem unless they tailor make the program according to the principles of labor laws.