PC §46.03(a)(4) says carrying is prohibited "on the premises of a racetrack." It's like a school--we can't carry there even when classes/races/betting are not happening. This is in contrast to the sporting event prohibition (for example), where the premises are only off limits when the event is occurring.
TxA wrote:2. - Can I conceal in my vehicle, but not on my person?

(hate to travel the 35 miles without my EDW)
As far as I am aware, under state law there is nowhere you can't carry in your car. All the prohibitions are for "premises," which are defined in §46.035(f)(3) as:
(3) "Premises" means a building or a portion of a building. The term does not include any public or private driveway, street, sidewalk or walkway, parking lot, parking garage, or other parking area.