The correct statements are:
1. There are no tariffs between member nations;
One of the primary goals of the EU is a single market with open borders, as well as economic support between the member nations. So one of the measures for that is that there's no tariffs between the member nations.
3. Member nations give up some sovereignty to belong to the EU;
The EU has its own parliament and rules, so when a nation gets into the EU it is obliged to obey that parliament and rules, thus giving up partially on its sovereignty.
5. Citizens traveling between EU nations do not need to present their passports at the border;
The EU functions in many ways in the model of the US, so despite officially still having borders between the member nations, the people are free to travel between them without having t present passports.