Sending tokens from any exchsnge to myetherwallet is as easy as sending bitcoins. You just need to create a wallet on official website.
Don't make mistake to search my on google for this wallet, you may be hacked later. Here is an original link to it https://myetherwallet.com .
Make sure to keep backup of you wallet data, enter the private key you have been given while creating myetherwallet account and copy your ethereum address, put it on bitttrex and click send. Your tokens should now be seen in your wallet on myetherwallet.com
i dont think so. sending tokens using mew is not as easy as sending bitcoins using a bitcoin wallet because mew tends to be complicated especially when you send some alts or tokens to some online exchanges like etherdelta. that is because you need to add the tokens or alts first in order for you to send them but in a bitcoin wallet you dont do anything ether , all you gotta do is to type the amount and click on send.
The answer is simply yes! It's like a built in feature of myetherwallet, you can automatically receive any type of erc 20 tokens. You don't have to set up anything with it, just give your ETH wallet address to the sender and it will be sent to your MEW automatically and once you have receive it already that will appear to your tokens received.
of course not, you cant say that you cant do anything on myetherwallet because some coins and tokens wont just simply appear on the list therfor you need to add them manually by knowing and inputting the coin/token complete details like contract address and decimal.