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If you are convicted, which implies involvement in a criminal case, you will be unable to leave the U.S. without serving your sentence. If you receive a jail term of six months, one year, or five years (or any other duration), you must complete that period before departing. The timeline for your departure depends on the current status of your case. It is not advisable to stay in the U.S. illegally, considering that you are already facing the worst outcome—a permanent ban from entering the U.S. Overstaying by an additional six or eight months would result in an additional bar of three to five years on top of the existing permanent ban of three to ten years. As for your assets, unless there is some form of asset forfeiture, you can take your money and sell your house before leaving.

It is recommended to maintain the H-1, H-4, L-1, L-2, etc., statuses because it provides an additional layer of protection in case of any government errors or complications with the I-485 situation. If, for any reason, the government mistakenly or intentionally targets your I-485 application, having an H-1B to fall back on can be advantageous. The H-1B status remains intact and offers continued benefits. 

On the other hand, the EAD (Employment Authorization Document), unlike H-1B, grants you the freedom to choose whether to work, not work, work multiple jobs, or even start your own business. However, there are certain limitations to consider. Interestingly, the derivative beneficiary, which refers to your spouse, may have more rights under the EAD compared to your own. It's important to exercise caution and be mindful of these distinctions.

There is no need to omit past employers.

If your green card application is family-based, such as through your spouse, and you have student status, it could potentially become a problem if you travel. In your case, I would suggest traveling only after you obtain either an H-1B visa stamping or Advanced Parole.

A. Certainly, there is absolutely no problem with that; a green card can be in process, and an H-1B can be filed.

B. No. The pending green card application should not hamper or impede the grant of an H-1B visa because the H-1B is a dual intent visa.

According to law it is evident that even with an approved EB-2 case, you have the option to file the I-140 under EB-3 – that's a choice open to you, and no one can dispute it. However, this doesn't mean that your I-140 and PERM are permanently tied to EB-3. What is typically done is filing the I-140 under the category that offers a more advantageous date. For instance, if you are in the EB-2 category and the EB-2 date is more favorable, you would file under EB-2. Conversely, if EB-3 is more beneficial, you would choose that option.

It's important to note that you cannot upgrade from an EB-3 PERM to an EB-2 I-140, but you can downgrade from an EB-2 I-140 to an EB-3 I-140 – or the other way around, downgrading from an EB-2 PERM to an EB-3 I-140.

So, when you have an EB-2 PERM, you have the flexibility to file under either EB-3, EB-2, or both. Importantly, this filing of the I-140 does not terminate your case or prevent you from returning to EB-2 in the future. Thus, there's no compelling reason not to consider filing under EB-3. As for whether it's better to file your case under EB-3 or EB-2, my recommendation would be to file I-140s for both categories – EB-3 I-140 and EB-2 I-140. However, for the I-485, it's advisable to file with EB-3 – that's likely the most suitable course of action.