When you are on your travels and someone asks you to do it, go on and do it. You shouldn’t let anything stop you from doing it. That is, do it unless you don’t feel safe about whatever it is.
When planning any trips outside of the country, your first step should always be to check what the country’s visa requirements are. You will need to know what you need to do.
If someone hands you something on the street, do not accept it. It’s a scam. They will give you something and then they will demand payment. It happens all of the time everywhere you go.
Traveling on your own is a good idea. However, you are going to want to let someone know where you are going. Give someone your itinerary.