You can do anything you want since it is your application, and you are putting yourself
At risk of being discovered of such fraud. No honest lawyer is going to tell you it's easy, or recommend you lie to the federal government.
I strongly encourage you to retain an attorney to assist and guide you through this process. It is not quite as simple as paperwork submission. Tread carefully in the process you intend to initiate, as your description above appears to imply that your girlfriend may have "immigrant intent" in her next planned entry in 2 months, which is in violation with the terms of her tourist visa, and consequently could pose problems in seeking Adjustment of Status.
Having said that, among some of...
Please consult with your attorney, since you already have one. If the attorney represents the employer, and you are concerned about them finding out, then seek advice in-person on this matter as opposed to soliciting an answer online. It would be good to know what the arrest was for as well. Also, you should not require an expungment if you were not convicted.
Lastly, your employer can do a lot of things if you are a at-will employee.
That is a lot of immigration filings. If you do not have an attorney, please retain one or consult with one in-person. I am guessing you are unable to pose the question to whoever handled the filing for company B since disclosing your interest in company C would complicate things.
You have a lot riding on this. Not only invest the time, but possibly your money, into getting the correct advice.
There are additional issues that need to be discussed. For instance, the LCA filing (...
You can apply; however, keep in mind that 273.5(a) is a deportable offense. This means your application could be denied, and that you could be referred to immigration court. The denial and referral to court is not mandatory, and USCIS, at their discretion, could approve your case.
To preserve the best possibility of achieving a positive result, I recommend you seek legal representation to assist you with the filing of your application, as well as accompanying you to the naturalization...
Refer to USCIS instructions for the form - http://www.uscis.gov/files/form/i-129finstr.pdf . If you are still having trouble, hire an attorney to assure its done right. If you submit some with the application, ou will still be wxpected to submit spme at interview.Good luck!