We can offer general advice here, but ultimately you need to read the guidelines for the airline that you are flying with, and the airports that you are going to travel from and through.
Bic lighters are generally allowed on ones person, but the pressurised turbo jet style lighters tend not to be. They do not like liquid fuel, but a Zippo on your person may be fine. Some things can go in hold, some carry on. It doesn't always make obvious sense which is which.
The airline may have preferences, but you aren't usually screened by the airline, you are screened by the airport. For instance, I can fly from the UK with a small pointy knife in my pocket so long as the blade from tip to
pivot is under 60mm. Ditto scissors, even pointy ones. Not allowed pliers though. Flying back with same airline from the US, no knives, no exceptions...but, I can scissors with up to 4 inch blades, and can carry pliers if they are under 7 inches, so Gerber MP600 bladeless, no problem, specially modified SAK with both blades ground off, no problem.
Compass should be no problem.
Ferro rod...well, various descriptions would suggest that they would not like this, but I travelled often with one before reading about it and no one has ever seen it and no one has ever questioned it. If it is packaged so it cannot be struck to create sparks in the event of turbulence, and if it is big enough to require a lot of heat to get going, then practically it isn't much of a risk. Sparklers are not allowed, but they start burning very hot from just the application of a match flame, and strike anywhere matches may ignite if they are crushed in their box.
For flying within and out of the US, the TSA have an excellent and very thorough web site. I only became aware of this site late last year, no idea how long it was up before that.
https://www.tsa.gov/travel/security-screening/whatcanibring
Its just important to know that the TSA are stricter on some things and more lenient on others than some other authorities.
UK government has a similar page:
https://www.gov.uk/hand-luggage-restrictions