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Yes. The I-130 petition and I-485 for Adjustment of Status can be filed concurrently if a visa number is immediately available for the person's category (as determined by USCIS's Adjustment of Status filing chart). See 8 CFR 245.2(a)(2)(i)(B-C):
(B) If, at the time of filing, approval of a visa petition filed for
classification under section 201(b)(2)(A)(i),...
3
No one can give you 100% sure answer.
Revokation of Irish citizenship is an extremely rare proceduce. It was done five times to this date. All cases were based on Section 19 (1)(a) "certificate was procured by fraud" of Irish Nationality and Citizenship Act 1956.
https://www.independent.ie/irish-news/shane-phelan-there-have-only-ever-been-five-...
3
There does not seem to be any direct benefit, as the withdrawal agreement created a kind of six-month grace period after the end of the transition period (with some additional rules that are not really relevant to your case). The British government official web pages confirm that
The rights and status of EU, EEA and Swiss citizens living in the UK will ...
2
No clean slate. Sorry. There is a general guidance that for some visa types, certain transgressions older than ten years may be disregarded at the case worker's discretion. That doesn't seem to apply to your case, and you will have to give some extra explanations as to why the UK can trust that you won't violate the terms of the Tier 4 visa. The fact that ...
1
General guideline are:
Write a cover letter for each form (I-130, E-485, I-864, I-765) with applicant and sponsor information and list all the documentation (as a bullet point list) that you are attaching.
Write another "main" cover letter with applicant and sponsor information and list all forms attached.
For the evidence of Bona Fide marriage, ...
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