How much time does it take to transfer BTC into btc-e hosted wallet? If i'm buying BTC in person from someone and he sends it to my btc-e hosted wallet, how much time does it usually take to appear in the account balance? Is it like any regular transfer or are they doing some extra confirmations? Thanks!
BTC-e waits for three confirmations, and then takes a minute or two more.

In my experience, it took 12 minutes. YMMV.

This is documented on the BTC-e website. Login, then click on 'finances', then click on the 'deposit' button on the BTC row.

The minimum incoming transfer is 0.0001BTC.  I don't know what happens if you transfer a smaller amount.