Your dwellers can level up until Level 50. Each level of your dweller will increase their health points.
The S.P.E.C.I.A.L. stats will be capped at 10 for training. If you reach a value of 10 at a S.P.E.C.I.A.L. attribute you won't be able to train the dweller further in this stat. Instead of further training, you are able to give them better cloths which can raise their S.P.E.C.I.A.L. attributes further. A good tactic is to train your dwellers in their main stat until 10 and probably their Luck too (as it will increase your rush-chance). After that you can provide a Luck-based or a working specific outfit to your dweller.
Each crafted item has a specific SPECIAL stat associated with it. Putting dwellers high in that stat into the room reduces the time to craft that item. Bonuses from outfits do count.
For crafted outfits, the stat is the same as the highest stat of the finished item. For weapons it's less easy to predict, but you can see the stat in the crafting list.
Best Answer
Themes are a different 'category' of object and do not have Common/Rare/Legendary classifications (hence the grey backdrop).