1) We would say "the" bank. Even if you're not specifying which bank, "the" is fine since there are a ton of banks and specifying isn't necessary. 2) That structure sounds odd. I would probably say "For three years in a row, the country fell to a lower rank in the world carbon emissions index." - However I totally understood what you were trying to say, so great job!

You would say "I'm still mad because he left"

1) Yes you could say that 2) You would more likely say "snooping around", but "snooping on us" is acceptable as well if you think the person is specifically focused on yourself. You could also say "snooping through" somebody's phone. 3) You would say "i can't log ONTO the wireless" or "I can't get AN internet connection/signal". You are also correct in that you can say "There is no internet connection here" or "The internet signal is very bad around here"

I'm not sure if this is what you're asking but you could say something like, "Do you have any DVDs about traveling?"

That sentence is correct. The only time you would use "is" is if the sentence was flipped: Yet in the United States, the single largest component of municipal waste IS paper products. However in your sentence, the main subject is "paper products" which is a plural subject. Therefore, "are" is correct.

1) In this case, it sounds like "farted into glasses" literally means the act of farting into glass cups. I have no idea why that would be in a sentence, but that's what it sounds like. I don't think it's any kind of idiom. 2) It seems like it is referring to the band, "Nirvana"

I agree with Michael Chambers on his critique, however I will add one thing based on what I'm pretty sure you're trying to accomplish with this sentence. I would definitely say "When a flower blossoms, it is scenery" instead of "When a flower blossoms, it is landscape". The sentence is attempting to show the beauty of a flower in all its forms, and the word "scenery" has positive connotations where a person would imagine a beautiful scene. However "landscape" does not as commonly solicit positive images. It could be referred to when one is talking about a construction site, or jagged gravel, or sand dunes, etc.

I think they would both work fine in spoken English, but there is a slight, slight difference. "I probably will not be adding that to my bucket list" implies that the action of adding something to your bucket list is ongoing. Since "adding" has the ING ending, it hints that the process of adding things to your bucket list is a continuous process. So at any given point in your life, you will not be adding that to your bucket list. "I probably will not add that to my bucket list" implies there is one specific moment in which you add things to your bucket list, but you will choose not to add that particular thing. So if you were currently at that very moment creating your bucket list, you would not add that item. However both could be used interchangeably and I don't think a native speaker would bat an eye, especially since a bucket list is more of a concept than a tangible item.