Have you had people reviewing your CV? Wonder if there's something wrong with it! Feeling like you're "unwanted" at a such big scale doesn't sound like the truth! Perhaps working in your self image could be of help.
As far as startups, you could find a job in one and still continue looking for a job in the side if you feel insecure about the situation. It seems like you're struggling to land something and landing something is better than not landing anything.
Yes, I've gone through double-digit revisions of my resume at this point. Asked someone I knew to look at it, then went so far as to post it on reddit's CSCQ board, got people telling me it was fine and a student telling me to make the subtitle under my name (which is at the top of my resume) bold or something like that.
I was a SDET in my last role, but I have web projects on my github to compliment the desktop work I've done, doesn't seem to be good enough for junior roles.
