US Immigration from Egypt

Hello everyone, thank you in advance for this helpful community.

I am a USC who lived in Egypt for the last 14 years.

My husband (not a USC) and I met in Egypt in Jan 2018, and married in May 2019, in a wedding celebration in Egypt, attended by both our families.

Before we met, my husband already secured a B1/B2 visa for tourist purposes, to visit the US, and it was granted by the US Embassy in Cairo in February 2018.

Our life and home is based in Egypt, and we have not submitted any immigration petition or paperwork at all so far, as we have not made any plans to immigrate to the US and were unsure where we would settle in the coming few years.

After Covid-19 hit, our life changed a lot, our professional demands slowed down as my work is now remote (and he works in the public sector, which has been quarantining and keeping employees at home, most employees are furloughed), and we decided with this free time to come to the US for a few months, so my husband and I could spend this down-time with my family here. We arrived to the US in mid-December and our return tickets back home to Egypt are reserved for the first week of May, as my husband's current B1/B2 allows him a max 6 month stay.

Lately, I'm wondering if it's possible that we could settle here, and manage his immigration case from here, without returning to Egypt to do so.

If I decide to stay in the US., I think it is possible that I could file an i-130, and my husband an i-485, so that we could adjust his status from B1/B2 to becoming a LPR, ideally doing the entire process from here, rather than returning to Egypt and starting the process from abroad. Is this correct?

If I begin this process now, will I have enough time for the paperwork to be sorted before our return flight in May?

Thank you all for your help, this is kind of overwhelming and I don't want to make any mistakes

I am hearing that the Public Charge Rule is now 'dead' again.

https://www.nbcnews.com/politics/supreme-court/biden-administration-ditches-trump-plan-limit-immigration-financially-dependent-n1260239

I filed AOS for my parents, & I am US Citizen. This included Form I-485 & I-765. I noticed that I overpaid the amount. My parents are here and their visa expires day after tomorrow. Not sure if USCIS will reject because of overpaying the case amount? if so, what to do. On March 6th they will be overstaying, so I will not be able to re-submit the AOS if the case was rejected.