Yep, had same problems with mine. leaking coolant isnt a good thing to ignore regardless of any other issues. overheats, warped heads, siezures, ect.. fixit while it is a cheap fix.
On another note the security might cause a similar problem. Vats pass key , if it doesnt ready the ignition key resistance right will shut the engine down upon startup. had the wires to mine break at the ignition switch and did that. just something to think about if ya cant figure out anything else.