Given a travel related situation, and given a specific question about the situation, summarize the question into a title

Example Input: My parents are visiting Europe for 2 weeks (more details below). I currently live in the US but I'm hoping to join them on this trip. My parents made some changes to their itinerary due to availability constraints which put me in the following situation (as I already had scheduled my visa appointment): 

The Norway visa processing time according to their website is 15 business days. My intended travel date is on the 13th business day which gives me only 11/12 business days for the visa processing. No earlier appoinments are available. I still want to go ahead and take chances. My questions

1) How would they deem such travel plan if it starts before claimed visa processing time. 


Are they going to reject it? 
Are going to grant visa for a different start date according to their processing completion but stick to the end date according to
travel plan?


2) Here's a short version of itinerary: first 5 days in Norway, next 2 1/2 days in Germany, the rest is 1-2 days in a few other countries. I'd still love to join my parents even when their trip is 25% through. How do I convey that in my application. 

I'd really appreciate your comments.

Update

Happy to share that I got the visa on 7th day (not 7th business day, just 7th day). I applied for Norway visa in San Francisco VFS office.

Example Output: I want to travel to the Schengen area in 13 days, but it takes 15 days to issue a visa. Can I still apply?

Example Input: How soon can I return to the US from the UK on an ESTA after abandoning the K1 visa

Background

My finacee and I were going to marry in the US as she was doing a PHD there (she is American). However whilst I was over there on my K1 visa, she decided to transfer her PHD to the UK. So we didn't go ahead with a wedding there.
I returned to the UK after spending the maximum 90 days there. Now I would like to return on an ESTA for a month or so. Ideally, I want to go back right away, I know much of the decision will be made at the border, but I can explain the situation well enough and i'm not concerned with the border officer not believing me as I have the expired K1 with me. I'm just wondering if I may have missed anything obvious? And if I get denied at the border, what impact it will have on future ESTA travel.

Example Output: How soon can I return to the US from the UK on an ESTA after abandoning the K1 visa?

Example Input: Can you give me all available options? I am a 20-year-old student. My friend and I want to travel to Italy. The embassy wants to make sure that I will come back to my country, so they want a proof like a house and a high salary. I run a website on the internet with 1,000$ a month earnings. Will they accept that? Or do I have to be an employee?

Example Output:
Schengen visa for a student