Hi there.
Your bunny not liking being picked up is nothing unusual. Most bunnies hate it as they think that we are preditors and are scared stiff. They want their feet to stay firmly on the ground. Try sitting on the floor and letting her come to you. After a while you can put her on your lap so that she's not too high from the floor and she should get used to it. Do everything gradually.
Also, if she isn't spayed then she'll possibly be hormonal hence the digging. It will depend on how developed she is. Digging can sometimes be related to need to urinate too - well it does in our household. As soon as we see bunny digging at the sofa, clothes etc we put them back in their litter tray/hutch etc and most times they go straight away.
Anyway, in time and with gentle handling she will become accustomed to it.