http://tvtropes.org/pmwiki/pmwiki.php/Main/PlotHole

Plot Holes are those gaps in a story where things happen without a logical reason. When a Plot Hole involves something essential to a story’s outcome, it can hurt the believability, for those who are bothered by such things. Hitting a Plot Hole at high speed can damage your Willing Suspension of Disbelief.

In fiction, a plot hole, plothole or plot error is a gap or inconsistency in a storyline that goes against the flow of logic established by the story’s plot. Such inconsistencies include such things as illogical or impossible events, and statements or events that contradict earlier events in the storyline.

So that you actually know what a plot hole is.

yotsuya said:
So, the Falcon leaves Jakku… How does Han happen to be right there?

That’s a plot convenience not a plot hole.

Where is the First Order. They were in orbit of Jakku and not having patrols out to detect an escaping ship is incredibly stupid, especially when Kylo Ren is so keen to capture them.

I don’t think incompetence can be considered a plot hole. If it is then The Empire not destroying the escape pod in STAR WARS is a massive plot hole as well.

Then there is Starkiller Base firing on the Republic. Nothing about it is explained in the movie. We know there is a Republic, but how big is it?

Not a plot hole

They have a fleet, so was the entire fleet in one place?

Still not a plothole, but Hux’s speech seems to indicate that the fleet is primarily located in the Hosnian system

They destroyed a system and just how did the people on Takodana see it?

I don’t know but it’s stupid that they did see it but again…it’s not a plot hole

How is the republic destroyed by destroying one star system? The Old Republic spanned thousands of system so is this a little upstart or will the Republic regroup?

Because it’s the seat of the Republic and at least the majority of the fleet is there. And most likely it isn’t completely destroyed but is fractured. We won’t know definitively until Episode VIII comes out.

How is the fleet destroyed?

What type of stupid ass question is this? Did you even watch the movie. Along with the planets you see ships being destroyed too.