Upvote:2
You for sure will not get into trouble. But this all depends on the immigrations officers you run into. You might get pulled aside and looked at harder but it is hard to believe you will be denied entry. If I were you i would use my correct last name for everything. The last thing you want is some airline not letting you fly because your name is not correct.
When flying to the US, always use the name that is on your green card. The US is the strictest about everything and cause the most problems.
I wouldn't worry, your not going to jail over a misspelled name as long as all your other documents are in order.