Won't start not sure if water pump needs replacing or needs new engine? 2004 Honda civic DX 1.7L engine 155k?

My car won't start i had to press the gas really hard to get it going before but now it started smoking(white) from under the hood and smelling burnt every time we try and start it up. I saw leaking under the car. Probably the coolant because its blue. Not sure if a new water pump and timing belt would do the job and or if we need to swap the entire engine. Before this I noticed that the engine would get hot or shut off whenever we stopped moving and finally this happened.

You can start an engine without any coolant at all, it just will overheat really bad. If you had a crack in the block somehwere that will be an issue, but sounds like there's more than one issue there. You should take it to a mechanic.

By continuesly starting the engine for periods of long cranking times this would affect the overheating of the starter motor and the melting of the power cables…

Don't you think it would be a good idea to have it professionally looked at to establish exactly what is wrong?