I could use some opinions.

Hello, Thank you for taking the time to read this I will do my best to describe my problem the best I can.

Okay, SO my car has this strange problem, everything is fine except when I turn off my car, but if I try to
start it again, it won't start, but when I leave it alone for 30 mins to an hour it will turn on.

So I will explain process step by step the best I can.

I put the key into the ignition, I turn it and the car starts, everything is fine, but the only orange lights that
I have is low tire pressure and no windshield wipers fluid (which is not the problem).

After driving around for example like going to the store or going to work the car turn off fine like it should,
but there is 50/50 chance the car won't start up again for 30mins to an hour.

Here is more details, when this happens the break peddle gets really stiff as I turn the key the dash lights
come on and flicker sometimes but the engine won't start. like it just waiting for me to start the engine.

(note: when the dash lights come on there is no Check Engine light just low tire pressure and windshield
fluid)  

I have learn some tricks to get it started (and from Google) I will put the car to NEUTRAL from PARK
then back to PARK and the car will start but sometime this will not work, another is I put the car in
NEUTRAL and give it a little push with my leg sticking out from the car door then turn the key and it will
start.

After 30 mins to an hour I get in my car and I turn the key and the car starts the break peddle is fine,
everything is fine until I turn it off.

I figured the Break Booster might be going out but that should not stop the car from starting, I have read
the signs of a failing Break Booster from Google but when I'm driving it shows now signs of failing.

(from Google)
Illuminated brake warning light on the console.
Leaking brake fluid.
Insufficient braking pressure or hard brakes.
Spongy brakes or sinking brake pedal.
Engine misfire or stalling when the brakes are applied.

My next thought is the Ignition Switch or the Gear Shift Connectors but i'm no mechanic, I have no idea.

I took my car to one mechanic but all he did was drive it around and said it was good, that he can't fix's
whats not broken but he did turn it off and on but luck was on his side and the car started so I looked like
a liar.

then I took it back to the dealership but the same thing happen the car was fine, (but i have a suspicion
that they did not really look at it but I left it for a few days, but then again they said they took it out for
launch and nothing happen.      

But its getting worse so i'm going to take it back to the first mechanic and see what happens but I would
like to give him a few ideas what might be the cause.

I learn how to make it happen on purpose I just have to turn it on and off two times and boom!

SO this it my friends, any ideas? or question? let me know.

Thank you for reading this!