Regarding Star Trek Online, I had about $20 worth of points and that comes to 1600 cash shop points. I purchased a ship slot upgrade and 2 ships from the game. I was told to check my inventory and I do not see them there.
When you buy ships form the C-Store you need to Claim them before they will appear. Go into the C-Store section while in the game and look under Ships or Legacy Unlocks. You should see the ships there listed as Available. When you click on them the Claim button will light up allowing you to take them and put them into your ship slots.
Also keep in mind that if you aren't the appropriate Rank to fly the ships that you can't Claim them until you are the right Rank. So if you're only a Lt. Commander and you purchased a T4 Venture you can't Claim it until you are Captain Rank.