I am currently pursuing 6-month online certification program in "management" domain from the Indian Institute of Management (IIM) here in India and this IIM has been awarded the EFMD Quality Improvement System (EQUIS) accreditation by EFMD, the globally recognized international organization for management development. This institute has AACSB (The Association to Advanced Collegiate Schools of Business) accreditation in the US. I have bachelors in chemical engg from India and masters in chemical engineering from the US. I plan to use the H1B remainder option to come back to the US and would like to change careers.

My question is as follows :
1. Is the "online certification in management" that I am currently pursuing from the AACSB accredited institute as mentioned above considered valid and acceptable by the USCIS for changing careers from chemical engineering to managerial roles such as e-commerce/software domain on H1B?
2. I have also done courses in management, data analysis, economics, computer programming and other math related courses at undergraduate level in chemical engineering and would like to know if these courses would be of any help to change domains as transcripts for bachelors and masters degree are requested during the H1B processing?

Question 1: If H-1B transfer is approved but not joining the new employer, then what all is required to be done to avoid any problems? - Is it required to withdraw all approved H-1B transfer petitions in that case?  What is the validity of H-1B transfer approval?

Question 2: I am currently working for Company “A” on an L1A visa which is valid until 09/12/2024. I have my i140 approved that was filed by company “A” in EB2 with May 2019 as the Priority date. I am from India. Company “B” filed my new H1B.
My new H1B petition (I 797A, notice of action) and accompanying request for a change of status got approved on Dec 21st 2022. Employer “B” shared with me the approval copy only on 29th Dec 2022. I 797A, notice of action says my new I 94 is valid from 12/21/2022 until 10/10/2025. Will my work authorization status in the US reflects as H1B only if I submit my new Form I-9 through employer B? or is it already effective from the date of H1B approval i.e., 12/21/2022?
Is there a time limit within which I have to resign from my current employer “A”? What’s the maximum number of calendar days I can continue with my current employer “A” from the date of my new H1B approval i.e., 12/21/2022?

My concern is about the Applying for Citizenship for myself and spouse, and with our passport and GC expiring criteria.
My GC and my spouse’s GC have a expiration date of Sep-2023
My Indian Passport have expiration date of Jul-2024 and my spouse’s on Mar-2026
I am pretty much ready with all the documents (been working on it for some time) to start our citizenship application by myself, according to the U.S Naturalization website for my region (New Jersey) it shows the processing time as 16 months. And if I apply now, during the processing period my GC will expire.
Is it okay to apply for citizenship now and then around July start my renewal of GC? Are there a process to update GC info after a citizenship application is submitted and is in processing? Would any part of GC numbers change when I get renewed? Or would you suggest that I renew the GC first as soon as I can and then apply for citizenship? If I do this then I will have to renew my Indian Passport as well I think, if there is not enough time.

1. I am on H1B VISA and was notified that my employment will end on January 20th. I am actively seeking new job opportunities. Can you please let me know what happens if I am still interviewing after 60 days and become out of status? 
2. Do I have any other options to change my VISA status before/after my employment is terminated and I fail to secure a job before the 60-day period is over? 
3. Does my VISA become invalid after the 60 days or can I still find a job and reactivate it if I get an offer after the 60-days?

Currently working with Employer B.
My PD - EB2 India, Aug 2013 with old employer A
Sep 2022 - Filed I485 with Employer A's I485J (which he provided that I will join his consultancy company)

1. I always intended to join him but we couldn't find a new project in this market. He mentioned he is going to withdraw the I485J and I140.
2. Will it be a right-away denial, RFE or USCIS will issue NOID?
3. If USCIS issues RFE/NOID and the response date is after the 180 days mark - Can I provide 485J from my current Employer or any other employer or self-company?

Background:
Working in the US on H1B, approved I-140 7 Years back in EB2. Now, there is an opportunity in my current company to manage 1 or 2 employees outside the US. And the same in the US. If the EB2 India dates don't have a good future after this year, I am thinking of going out of US work in managing capacity and coming back on L1A and trying EB1C.

1: With just 1 or 2 employees (senior resources e.g. VPs or AVPs in the financial domain ) reporting to me, how are the chances to get EB1C approved?
2: In your opinion, do you see EB2 India touching 2015 anytime this year, considering they have some spill over from last year? Or you suggest a plan for EB1C if the situation exists?

Have any rules changed regarding getting a spouse visa through H1, L1, or O1? Also is traveling on a tourist visa to the US after marriage not ok, with a pending GC application? Finally, does the US have any special agreements with the UK, EU, Singapore, Dubai or Australia for visas that may qualify in this scenario?

My I-140 and I-485 is pending, my OPT has  expired. Can I stay back in the U.S until I get my green card EAD ?