Confucius quote: what's the original?
譬如为山未成一篑 is talking about making a mountain rather than moving a mountain. It tells about the importance of perseverance.

Another Confucian classic, 《荀子》 has 积土成山风雨兴焉 in the article 劝学 meaning you accumulate earth and make a mountain then the local climate will change. Again, the same moral, but not told by Confucius himself. 

Yet another classic but is about Taoism, 《列子》, has an article talking about a silly old ram thought he could punch a hole in a dam -- A silly old man thought he could move a mountain with a 1000 year plan, and eventually he did in his life span, because the Sky God helped his clan. This is, again, all about the same thing, perseverance.

So yes, it is probably fake. At least we can tell it's not from the Analects.

About the meanings of these quotes, you can find the Chinese translation of 论语 here. For more detailed explanations of each quote, google is your friend. Search one of the quotes and you'll get plenty of answers.