It will take time, away from all of this to heal. There's no real solid timeline, but I can relate oh so well, to the fear of falling into the same old patterns, meeting someone who is the same or worse. Have hope, 'k?!
A little loneliness for a couple of years or so, is better than rushing into anything, if you aren't emotionally ready. Which, from the amount of abuse, it will take time.
I know what you mean, about wanting to be touched and to make love. That being more than just an expression, especially to women who have been battered and torn.
When you are ready to appreciate a good man, then you'll know you are ready.