Where can I buy a hamsa pendant with a necklace (silver with zircon stones)?
Check out roxikdesigns.wix.com/roxi-k-designs - handmade costume jewelry! i saw something similar to what you want, enjoy :)
Where can I find an Italian restaurant?
I love @Andiamo it's very rustic and family style. Also there is @Medzo very authentic!
Where can I buy Pixi makeup?
We use to have 2 stores here in Dubai but they are no longer here :( Now all you can do is order online through pixibeauty.co.uk and ship it to Dubai, but it is not that expensive and totally worth it! Also you can find a few items on uae.souk.com like nail polish, lip definer, gloss and powder so have a look :)
Where can I buy thermal tops or long sleeve body tops?
You can find some long sleeved body tops @Debenhams @H&M and also I found one @Agent Provocateur it's called the Theadora Bodysuit
Where can I find unique door handles?
I love the unique and yet modern furniture @Caspaiou you may find something you like there
Where can I find Smashbox cosmetics?
@Galeries Lafayette and @Saks Fifth Avenue both carry Smashbox
Where can I find a good guitar training school near to Rolla?
I think this may be a little farther than you are looking for but an amazing music school is @Brooklyn Melodies Music Center