I wasn't let go from my previous job, but quit (when I couldn't take it anymore) owing to a very bad work culture with absolutely nowhere to go. We are programmers at the end of the day and we solve problems on a daily basis, which is what we do in an interview as well.

TLDR; Yes, believe in yourself.

My skills are good enough, but, to be honest, I'm a bit of an outlier in terms of my age. I know that shouldn't matter, but it definitely does.

I'm 54 in case you're interested and I've been building web sites since the 90s. I currently specialise in front end work and I've been mostly using react/redux, but I've recently been looking with interest at both Vue and Aurelia.

TLDR: I'm old as dirt.