Earlier quoted context omitted.
The only reasonable option there is the third one, and the company itself suffers the backlash for running on such a high bus factor. Vacation is for vacation, not work. If you're asked to stay on call then you better be paid for it. After all, you're not one of the founders, you're an employee. If a business can't survive with a week or two of planning or delegation then it has other problems. Eating vacation is jus…
However, you're not a low-level resource; especially in a 6-man company. Being given responsibility for your team, you are responsible for it -- good or bad. It's your duty to ensure your team is capable of limited autonomy (if they were believed to be capable of full autonomy, your role as manager is redundant, and the hierarchy shouldn't have been created in the first place) If you haven't yet created the necessary…
Your use of words like “blow up” and “duty” need some serious reflection. One of the biggest failures of or modern corporate culture is the mindset that we should live to work instead of work to live. A vacation requires disconnect to be truly valuable, if your brain is still in work mode, you may as well have stayed in the office.