Yes your skill points for that reset won't run out. However, obviously your character won't be able to put skill points into any skill until they are all done. Also, you won't be able to access any of the character page stuff like changing your avatar or IFF until those skill points are set.
Somewhere along the way I somehow had 1 point added to my capital ship combat skill I know I would have never put there. If I switch to the new race, when I go back, will I be able to put it back in the right spot?
You cannot go back once you use the race swap - you can only swap to newly discovered races. But yes, once you swap you can reassign as though you were just creating your character for the first time, so you need to assign priorities to the various skill categories and put points within each area as normal.
There are many still out there waiting to be discovered, the amount is pretty much only limited by what in SW lore has enough information to base a race entry on, and how many planets the galaxy administrators feel like adding to give them a homeworld.