In American English, “a few” would be between three and five. If it were only two (or perhaps three), we’d say “a couple”. “Several” would probably be about five to seven or eight. These are just approximate numbers — used when we don’t really want to give an exact figure, for some reason…. The context and the non-verbal communication are key. It may be that “a few months” is just the approximate amount of time for you to find a good job at another company….

Sorry to hear that as well. 'a few months' is subjective, but for me it'd be any time after 2 months. Maybe one or 2 weeks extra, say 10 weeks.

I'm sorry that you did not well in the interview. Difficult question, though. I'd say at least three months.