Possible electric problem?

It's a little confusing from your post just what problems you're having but you need to separate the starter motor issue with the ignition issue.

First I'd get the starter to turn over and you just may find your ignition problem at the same time. Check voltage on the small wire at the starter relay while the key is on. I'm guessing it's not there since you tried the 'ole screwdriver on the relay trick. If no voltage there then work backwards toward the firewall connector and inside at the fuse box. If no voltage there check your fuseable link near the firewall connector, it may be open.

It would help to know what car you have too.