Since Hotfoot answered most of your questions, I will expand on the accommodation and transportation.
I have been twice to LVMS (nice flat track) and as recent as this year in April.
On both occasions I rented a car, because I don't like waiting. It is quite expensive, plus gas, but again, I don't like waiting.
I stayed at the strip on the best room deal at the time The Mirage and the Trump Hotel. I don't drink, smoke or gamble, so I appreciated the stay at the Trump Hotel. No smell of old spilled beer, smoke, body fluids on the stained carpets or noisy and obnoxious partiers/gamblers. You don't have to walk 1/4 mile from the parking lot to the elevator; it has Valet Parking for all guests.
All hotels at the strip are very close to Highway 15, which going North takes you to the track.
Take Exit 54, then make a right on Speedway Blvd. and another right on Checkered Flag Lane. The track entrance will be far down the road on your right. You will see the CSS trucks before the entrance, but not by the entrance.
Eatery for me is at Joe's Seafood, Prime Steak & Stone Crab for all 3 nights.
Prepare for cold mornings and nice afternoons.
Have fun.