mel99

Are you saying the person received a ticket for driving a vehicle in the USA without a license WHILE being illegal? Yes, that’s a concern.

You mean a no license ticket in Mexico?  Even if they found out, it wouldn't make a difference.  If you mean in the US, AND they were in the US illegally, then it would be found out and a big issue.  Please clarify.

Would you mind telling us what are the questions that are asked? I would appreciate for your input. thanks

oh ok! Well I've never heard of residence proof being requested, but I'm sure he has some utility bills since he is in Mexico? 
They don't specifically ask for border crossing tickets and phone call records,  but they do require evidence, proof of a bonafide relationship. People usually supply as much as they can gather, you can find lists here of some of that secondary evidence. How do you communicate with him? having that record is important. You can get  your phone records with your cellphone company an print them out. Or the phone bill.  Also you guys have kids together, having their birth certificates with both your names is a pretty solid evidence. 
Also not all Mexico is dangerous I promise, I live here. If you actually wanted to see each other and could, there are some nice cities that are pretty safe, beyond the border, because Ciudad Juarez is awful and no one wants to go there, that's for sure. But the  4 small children part, that's understandable, as to why you can't/shouldn't travel. 
these are some of the questions people have been asked, and you can find more online: 
I hope it helps! 
 

Hi Dilorena...thank you (also is like to thank everyone who has replied to my question)...
Proof of domicile I was meaning his proof of residence- meaning stuff that shows his Mexico residence. Also I heard from a friend who went through the visa process to legalize her Muslim husband that they are going to ask me for border crossing tickets, texts and phone call records...I havemt been keeping track of that stuff because I didn't think they'd require it.....is it true that they'll ask me for that stuff? Cuz I did see him for a few days at the border in 2014 and i get pregnant with our 4th child who is epileptic but besides that i haven't gone to see him as it is dangerous in Mexico and I have 4 small children . please reply soon...I want to be prepared as I can. Also do they get really in depth with the interview questions? Where can I find some example questions? 

Also the interview depends on the case, some are out after 15 min, other after an hour. Like Compadre said, it's good to read that link and anything else you can find about Juarez. The questions are as well varied, but it's good to prepare for them beforehand. I've found many examples online, they go from simple like in-laws names to a little more private. It's hard to say since everyone seems to have a different experience. As from proof of domicile what do you mean? where is he currently living? You don't have to go to the interview. 
Good luck! <3 

Moved from IR-1/CR-1 Process & Procedures to Mexico, Latin & South America regional forum; OP's questions are Mexico specific.

mel99 this is the web-link = http://www.visajourney.com/consulates/index.php?ctry=Mexico&cty=Juarez for information on the Consulate Ciudad Juarez.  Usually the sponsor/petitioner is not required, and/or cannot attend the beneficiary's interview.  Doing a search here on the VJ website will provide you will a wealth of information.