It can be a trick to copy a single automation lane... Here's what I do...
1. Create a new project with 1 audio track and draw 2 types of automation on a track - volume and pan say.
2. Select all - ctrl+a
3. Custom Copy - ctrl+alt+c
4. Select only Track/Bus Automation
5. Insert a new audio track - Insert Button
6. move now time to start of selected material - shift+G
7. Paste - ctrl+V or ctrl+alt+v depending on your preference
8. Delete extra Bus.
9. Assign bus to automate parameter of your choice
10. repeat to copy the single automation lane remaining to the destination track of your choice.