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: I'm flying to Peru with my girlfriend next week and I realized that her name is incorrect on the reservation.

Instead of Sally Marie Jones it's Jones Marie Sally.

We're flying into Houston, then Lima, and in Lima we switch airlines for our flight to Cajamarca.

I booked the ticket with Orbitz who made the reservation with United. United booked the flight with LAN air, the Peruvian airline.

Both companies say that they are unable to change the name because of TSA restrictions not allowing a name change. I asked if I could just cancel and re-book, but United said they could not do this because there are multiple airlines involved.

A note has been attached to the reservation explaining the issue, and the United rep said that they would be able to print her boarding pass with the correct name. However, he said there are no guarantees that she'll be able to fly because although the boarding pass will be correct, the ticket will still have the reversed name.

I was prepared to just take the chance that it will all work out, seeing how it's really obvious the name is just backwards, but with recent events I'm worried that US airport security is going to be extra strict for the next little while.

Is this something I need to worry about, or are chances good that this will work out fine?

The United rep said there's a chance we could cancel the United flights and get a new ticket with the correct name for no cost, but we'd have to pay for new tickets within Peru ($500 out of the total $1300 ticket cost). I'd rather not do this unless there's a reasonable chance we'll have trouble at the airport.

Example Output: Am I going to have trouble flying with a reversed name on the ticket?

Example Input: Flights out of London Heathrow do not contain departure gate information until about 45 minutes before the flight is ready to depart (presumably so you spend more money at the duty-free). Are there any public APIs or resources that will tell me which gate my flight departs from before the Heathrow departure screens do?

Example Output:
Determine gate for departing Heathrow flight