You'll need more than that eventually. As the old adage says, you can never have too many power supplies!
Tracking +/-15V variable and fixed 5V and 12V would be an absolute minimum I would recommend. Although if you are doing digital only stuff then maybe you can get away without a extra negative supply.
Variable current limiting is essential for experimentation, so you don't blow stuff up. This is a fair bit extra complexity, but well worth it. In this case it's probably bets to get a pre-designed kit or commercial unit so it's all done for you.
You'll need fully floating with an earthing option. Fully floating allows you to combine the outputs to give different voltages and negative rails etc.
Nope, fully isolate the two.
Just excess power dissipation, make sure your heatsink is big enough.
At least you are doing it the safe way with existing packs, that's good.
I think you'll quickly find this basic supply quite limiting (no pun intended).
As Budgie said, commercial units with nice displays and current limiting etc are available at good prices on eBay etc. Although it's fun to build your own occasionally and get exactly what you want. The more outputs the better!
Dave :)