1: 'Phoning' is correct. 'Phoning with' could be used if she was phoning someone else while accompanied by her boyfriend (although it's an ugly construction).
2. 'Have' is better. 'Make a career' might be OK if it was followed by 'out of', as in "I hope to make a career out of what I've learnt from my course".
3. 'To' is much better in British English, although 'with' might possibly be acceptable in American English.