Here's a list of things I have had wrong with my '09 V8 Genesis Sedan in just the first 17,000 miles. I have the technology package, so some of this stuff only has to do with that package.
1. Radio and steering wheel buttons locked up for several days, and continue to do so intermittently.
2. Car would frequently not allow me to take it out of park.
3. Rear view cam stopped working.
4. Stereo sound stops coming from speakers intermittently, sometimes for seconds, sometimes for days.
5. Brake lights go out.
6. Microphone for voice controls and phone bluetooth stops working.
7. Contacts continue to be completely deleted from my car's phone book for no reason, and it doesn't allow me to add new ones. Every once in a while they all show back up for a day or two.
8. Steering wheel will often not come back into place after restarting the car, and I have to manually reach up and put the steering wheel back where I want it.
9. Cruise control will often not engage after I turn it on and press set, and I have to turn it back off, wait a minute, then turn it back on and try again. It has always worked so far on the 2nd try.
10. Air quality control doesn't seem to work all that well anymore, since sometimes I can be sitting behind a beater pumping my car full of noxious fumes and it doesn't engage the recirc. automatically, other times it comes on and there are no other cars around me, other times it works like it should... almost like it's on random.
Things they have been able to fix after probably nearly a dozen times between 3 different dealerships: the brake lights and the gearshift stuck in park.
I don't really think you need more reasons than this not to buy a Genesis. The thing is, if they would just replace this obvious lemon, they would surely have me on here writing great things about Hyundai, but as it stands, I can't even get anyone in charge at Hyundai headquarters to return my calls, so this is my last resort.
Sad to hear of the issues you are having.
If you feel that you have a 'lemon', which is covered by your states lemon law, then proceed with the state authorites and at the same time write John Krafcik, Hyundai Motors America President or CEO, a detailed letter and have it delivered registered-return receipt mail. At the same time send it to your states Consumer Protection Agency, requesting intervention. Put into that letter any 'mediator' notations that are within your purchase contract, and that if Hyundai does not comply with the timeline of the contract, which also may be mirrored by your state lemon law, by the way, that you will proceed without Hyundai's meaningful and cooperative participation - as you would then view their inactivity-lack of response as a (material?) breach of contract.
Wait several weeks and if you don't hear anything meaningful from them, then write Krafcik a second letter, which is a "demand" letter, stating what you want from Hyundai ($ or new car), as in if they don't meet your demand, you will ask the court to order that specific damage/remediation - stating you will wait ten business days, and again sent registered return receipt. Wait ten business days and then proceed as follows, but obviously you need the legal support of your states lemon law behind you.
At a pretty reasonable cost you can go to your local municipal court and file in civil court, and at the same time, subpoena duces tecum Hyundai, any relevant employees to come to court as witness (hostile or not), and even more importantly and valuable, any and all records related to the histories of your model with any and all of the above issues, that Hyundai has America/world wide. Materials production for a corporation is quite costly, all by itself. In fact the materials production (discovery) would cost Hyundai many, many times more then the value of vehicle itself, and the case would just be getting started for them.
Obviously, to win, you need to demonstrate that:
1.your vehicle has met and does meet the state lemon law criteria
2. you have provided Hyundai sufficient 'time' to respond pursuant to the purchase contract/applicable state law, the contract of which you signed when buying the car - some contracts call for a "mediator", but mediation has been ruled on federally, in the sense that having mediation in a contract - where it once prevented an individual from going to court - no longer prevents an individual from going to court.
3. obviously all your paper records, dates, contact (Hyundai) staff, etc.
4. the copies of materials you'll have to digest that Hyundai sends you- you'll likely have to fight for their records but you will prevail with your subpoena being able to offer reasonable detail to their importance to your case, to the judge.
What a pain in the butt to have to go to so much work to have a satisfactory solution.
Good luck with a more cooperative and simple method.