This was me when I started wearing make up. And when I started wearing contacts.
Like JasonTerror said, you just have to manipulate your face a bit. To get a really close line, I pull my eyelid up lightly while my eye is closed. I've never used false lashes before since all I require is a nice lengthening mascara. But I'd probably use demi lashes if I were you. Or even cutting the lash band and applying them in segments.
But first and foremost, take your time and practice! It use to take me forever to get my eye makeup done for dances and stuff. Now I can slap on eyeliner and shadow in like two minutes.
What's this for? It's a wig.
What's it for? To disguise yourself from yourself.