1st time at the track advice.

Have a fire extinguisher in the car. Have any/all support pieces & tools you'll even imagine you'll need with you & clearly markede. If you're bringing along help, take care of 'em--they're doing YOU a favor.
Don't be the first car out on the track. Let some others lay some rubber down for you so you can make your best passes. Watch a few cars to see how the veterans do it & which lane seems to be better. Pit near a loudspeaker so you can hear when your class is called--alot of guys miss the call & shortchange themselves. Myself---if you're not using slicks I'd drive around the waterbox as some guys get real ticked off over you dragging water up to the startingline. Once you're staged-PAY ATTENTION! A Pro-tree flashes pretty quick so be ready. If you're using a .400 tree, know how quickly your engine spools up so as not to be revving it needlessly. Unless you know positivly your motor can take 7k + RPM don't try it--you'll only be beating it up needlessly & working well beyond most dual-purpose car's power band. Some guys will mat the gas pedal as soon as the stage light is on, revving the motor for no reason. Observe "courtesy staging" protocol. Burn-downs, backing in & out of the lites is BS, ticks guys off & is an easy way to get into fights with other racers & in some cases track crew. Drive YOUR race---the fact there's another car next to you,at this point, is incidental--don't worry about him once you're launched.
If you get sideways, start veering towards the center or the wall---GET OUT OF IT!. Nothing's worth the race, your car, or your life. If the engine or trans blows, pull to the side ASAP. Nothing ticks off the track or racers like some guy that drives down the track with his car spewing oil the full length of the track.
You're there to have fun--enjoy the experience, learn & be safe!