According to your FAQ, it states that it is possible to deposit a weird number of coins such as 1.024 BTC, to be offered a 1 BTC chip that you can withdraw.
First question -- if I for example deposit 1.01 BTC, will I then still have the option to get that 1 BTC chip, or is it required to deposit that 1.024 BTC as minimum?
Second question -- is this 1 BTC chip the highest possible value, or can we also get 2 or 5 BTC chips (the FAQ doesn't state this information)?
First question -- you can exchange 1.024 BTC chip for 1 BTC chip. This action is called "commonize" and is currently disabled.First question -- if I for example deposit 1.01 BTC, will I then still have the option to get that 1 BTC chip, or is it required to deposit that 1.024 BTC as minimum?
Second question -- is this 1 BTC chip the highest possible value, or can we also get 2 or 5 BTC chips (the FAQ doesn't state this information)?
Second question -- highest possible value of a chip is 4.096 BTC. Highest commonized chip is 4 BTC.
The deposit addresses are uniquely generated for each new deposit?
No, there is a chance to reuse an unused deposit address.I definitely wouldn't want to look suspicious. This might come of as a turnoff for innocent people wanting to use mixers. 
Because only a criminal would want some privacy.