Letter from USCIS - Fraud Work Experience

[h1Stamp1]

My wife is on H4 EAD and she got a letter from USCIS regarding "Fradulent Work experience" stating that USCIS did not find any prior SSN activity on her name.  This happened when she recently applied for her first job (in USA) and she got selected for the job. The letter also mentioned that applying jobs in future will forfeit the employment and from entering into USA both for my wife and the sponsor (myself). 
1) Does this show up on the sponsor's immigration history? We are decided on foregoing her job offer.
2)  Surprised that USCIS is monitoring even the profiles of H4 EADs. Is there any other corrective action we need to do?

[JoeF]

Was fake job experience listed on the application? Why are you surprised that USCIS checks that???

 

[unbalanced]

did u send the resume or mentioned it anywhere on the application when applying for H4 EAD or did this happen while the background check for the applied job(which seems to be very uncommon)?

[mathunni]

For God's sake, please do not lie on your resume. This is why there is so much backlash against H1Bs.