Yes, exactly as above, separate partitions for home, filesystem and swap. I would use more for swap if you can, typically 2-3 times the main memory, so that hibernate actually has a chance of working. Mint because it has long term support, and this 5 year cycle allows you to learn easier instead of just trying to keep up with the fad of the month.
By default you can encrypt the home folder, and on a laptop this is a good idea, though it has issues with hibernate at times. As it comes from the installer you will find most things work, wireless might be iffy depending on the wireless chipset, but pretty much the rest will work out of the box. Install Virtualbox and then you can put in a few VM with windows machines to do those things linux is poor at., or which is not written for it.
Applications is up to you, if you like mail you have a whole lot to use, though I prefer ( and have done so for a long time now) Evolution over Thunderbird. Install Chromium ( as opposed to Chrome) as a browser in addition to Firefox, and you will have a good browsing experience. VLC as a media player is pretty good, though the built in Totem is quite usable, though you will have to install the non-free codecs to play certain content.