I've had no problems carrying cigars either in checked or carry on bags. I have packed them in a Rubbermaid type plastic container, a portable Herf-a-dor, and even packed into an empty plastic water bottle, or in a ziplock bag shoved into a shoe for protection.

You may carry a butane soft lighter or zippo type lighter in your carry-on or on your person; but not in checked bags.
Torch lighters are technically banned in both carry-on and checked unless in a DOT approved container, or are completely empty; then you may still risk losing it or being delayed in security as they check. https://www.faa.gov/about/office_org...ghters_faq.pdf
I have had to forfeit a torch lighter in a security line. Fortunately it was just a cheapie Ronson jet-line and they x-rayed my bag 4 times before they pulled me aside to ask me about it.

I have carried a two finger cigar cutter in my carry-on several times, but I would not risk it with a nice one. I have only brought a cheap plastic one in case they decide to confiscate. A cutter otherwise should be no problem in checked baggage.