The comments about being 'over-qualified' are quite apposite. I hit that problem the day I graduated from university. The company I had worked for in my student vacations turned me down - they said they didn't need people with First Class Honours degrees. British Railways (my father was a senior officer) wouldn't take me either, same reason. Rolls-Royce were less fussy, and I eventually became a senior aircraft engine designer with them. Hey! you may even have flown planes with my engines in - anybody flown with R-R Conways? - I was in the team that designed the Conway, the first by pass engine. I think the rest is history as they say.
This problem of holding above average or specialised qualifications will often bite you. Later on in my career I was made redundant, when the outfit I was in went bust. It took quite a time to find a new employer - they all thought I would not stay long. `sound familiar? One company saw my potential, hired me anyway into a 'created' job, and then moved me rapidly up their engineering management chain, till I was right at the top. They saw potential, not problems.