Since you have now drawn out your claim, and there have been some discrepancies between what the employer is saying and when you had wages reported (they can tell this exactly) and what you reported on the weekly certifications where you were supposed to report if you were offered your job back or had any work for wages, they are of course checking on these discrepancies. It is what the agency does. It does not mean you have committed fraud or that you have been charged with or even accused of fraud. DOES NOT mean you need to get an attorney and shut up, or any of those things that would happen if you were charged criminally with unemployment fraud. I repeat, this has not happened.
Each week you draw unemployment must be a week you certified for. Each week must be a Sunday through Saturday calendar week, regardless of how or when you were paid the wages for the time you have worked that week. So even if you didn't get paid until the following week, or once or twice a month, each week when you certified, you would report, for example, I worked 10 hours at $10 an hour, so I report $100 for this week, even if you get paid later. It's not supposed to be reported when you got paid, it is supposed to be reported when you actually worked it. Sometimes, very commonly, people don't understand this, or don't "guesstimate" exactly right in these circumstances, and their wages get reported incorrectly.
There is also a place on the weekly certification that says something like "Did you accept a job, refuse a job, were you offered a job this week?" And if you put "No" and the employer says they offered you work that week, or told you to come in that week and you refused, or something like that, they'll ask you about it and talk to both parties and make a decision about whether you refused work in a disqualifying way. They'll be the ones who go into whether or not it was valid when a co worker told you not to come in, and whether the employer made a bona fide offer of work or made it clear to you what they wanted you to do.
Just be calm, and answer their questions as honestly as you can, as I said, get your calendar and do your thought homework before the interview. And do not distract yourself (and the investigators) by throwing in things like your rape and your broken hands and your confusion and your single motherhood and your employer telling you to get a lawyer for your slander case and your current situation. Just the facts, ma'am.
When doing an investigation, people who throw in too much stuff and try to tell you their hard luck stories automatically cast suspicion on themselves. This is because investigators are trained to cut through all the extra stuff and get to the bare bones of when did you work, how much did you make, what were you told, are you out of work through no fault of your own, did you do this on purpose or did you simply not understand. And when you're rattling on about all this other stuff, it comes across as an effort to camouflage the actual facts of the situation. They're much less likely to give you the benefit of the doubt if you're full of excuses.
If they decide you are actually overpaid, which will come much later after they've checked everything out back and forth and then issued an overpayment decision, they will also decide if this was deliberate fraud. If it does, that means an overpayment with penalties, and in your state, no waiver. If they decide there was an overpayment with no fraud involved, you can request a waiver of the overpayment, and at that time (which may be long after your broken hands have healed) you'd provide them with detailed financial information and they determine if you have the capability to pay the money you have received incorrectly back to them.
If it were determined to be outright blatant fraud, they'll assess penalties as well as the actual overpayment, and there is no waiver. However, they have much experience with dealing with broke people (since so many of their clients are unemployed) and they know you cannot get blood from a turnip. You will likely end up with an overpayment sitting there on your record until you work again, at which time they may garnish your paychecks. They might keep your state tax refunds. But in any case, you very likely do not have to worry about being recommended to the DA for criminal prosecution. They simply do not have the time and resources to prosecute everyone they determine to have committed fraud. They are much more interested in getting the money back.
This is AFTER, repeat, after the investigative process you are about to enter. So there's certainly no point in anguishing about it now. Best wishes to you.