NO, you will not be able to keep illegal addns unless you go through an expensive and lengthy process of legalizing the additions and even then, if the home is in a single family zoning you will NOT be able to use is as such, a 2-family home unless it is zoned Duplex etc. You may be able to qualify it as a "Granny Apt" if you meet that criteria and the stucture meets all bldg, zoning, electrical, A/C, plumbing, roofing, drywall, hurricane codes etc. You need to hire an architect, engineer and general contractor who are competent in these areas and whom, after inspections, feels he/she can get you an "As-Built Permit". The alternative is to comply with the City and demo the illegal addn with the proper permits and get it all legal again. The liens they will not negotiate and/or clear or even give you a payoff until the structure is in compliance one way or the other. If you want referrals to some architects, engineers, contractors etc. feel free to contact me during normal business hours at StevecEsptein@gmail.com Ph: 305-546-5132 and send me your email and phone number for help.