So light from billions of light years keeps traveling non stop?

Yes it does.  ALL light never stops travelling until it hits something and gets reflected or absorbed.

However, it spreads out until it becomes too dim to see, depending on what light detector you're using.  Eyeballs are quite small and telescopes are bigger, which is why we need them to see more distant stuff.  The bigger the main lens or mirror, the more of this spreading light we can pick up   Even so, to see REALLY distant, you need a long exposure to collect more photons on your film or CCD and get a good picture.  When Hubble took photos of distant galactic spectra and concluded they're ALL red-shifted so the universe must be expanding, it took him ages - basically he could only get one photo per night when he was looking at galaxies billions of light years off.  Research can get really boring!  (It also goes wrong a lot because you're doing new stuff - do not do a PhD if you don't have lots and lots of patience.  My best friend at university took 7 years to finish his and it's only supposed to take 3.)

Laser light, by the way, is collimated so it doesn't spread out so much and the light from a not so powerful laser will be visible further away, but you won't see it unless it's pointing directly at you.  Stars, fortunately for being able to see them, send out uncollimated light in all directions.

What you've forgotten in your example is that planets are round.  You can't see more than a few miles because anything further than that is below the horizon because of the planet's curvature.  If the world was flat, you would have a point.  But it's not, it's round, so this is easily explained.

It may help to go extreme - if you're American, as you clearly are from your spelling, how do you expect to see Australia?  Obviously you can't because you're on the other side of a big ball.  You could see it from underneath on a transparent Earth.  But Earth is not transparent to visible light.  And light travels in straight lines, and a straight line to Aussie-land goes through it.  A straight line to anywhere more than a few miles away does too.

It also doesn't help that the atmosphere scatters light.  Which is why the Hubble Space Telescope was put in space.  Put your telescope out there and you get much less blurry images.  (That is, once it was repaired... the main mirror was a tiny bit out of shape and when they saw the first images, everyone connected with the project looked at the blurry blobs and went "oh sh**".  Millions of dollars down the drain unless it could be fixed - and a Space Shuttle mission DID fix it.  Oh boy - just imagine the political repercussions on NASA if they goofed again.)

Yes. Expand your definition of light. A LOOOoooonnng exposure in the correct direction WILL reveal that lone light source. Further, there's a lot more light out there than just visible light. 

Light is a wave in electromagnetic fields.

Have you ever known a wave to just stop?

Because Cities have too much Light Pollution

No, I'm not getting your point.

Light keeps going as long as nothing blocks it.

A light on Earth is blocked by the molecules of the atmosphere, by any particulates like dust or smoke in the air or by moistures

There is no air or dust or smoke in space (where there are clouds of dust and gas the starlight is blocked).

You strike a match, the light goes to the infinitum of the universe unless absorbed, reflected, or refracted. Intensity reduces by square law so not very bright say ,on our moon.

When a bunch of photons are emitted from any sourse of light they go off in multiple directions. The farther away you are from the source the farther apart they are so the light looks dimmer and dimmer as the distance increases.

Not getting your point... photons travel until they're either reflected or absorbed... If you were 1,000 miles away, and lit a match, the light is too dim for your eye to see the flame at that distance. A certain number of photons per second have to be absorbed by the cells in your eye for you to 'see' something... that's why we can't see most of the stars out there - they're simply too dim to stimulate the nerves in our eyes to send the signals to our brain. 

Light will travel until something blocks it. Dust particles in the air, trees, curvature of the earth, ... limit how far you can see light. Curvature of the earth limits you to around 3-4 miles.