I'm now traveling around the world, which is one of my dreams since I was a student. I'm now traveling around the world, which is one of my dreams since I was a student.

I'm now traveling around the world, which is one of my dreama dream I’ve had since I was a student. I'm now traveling around the world, which is a dream I’ve had since I was a student.

This just sounds a little more natural

I have been working a lot for 5 years and a half years to save money for this travel, and now I made it ! I have been working a lot for 5 and a half years to save money for this travel, and now I made it !

I have been working a lot for 5 years and a half years to save money for this travelip, and now I have made it ! I have been working a lot for 5 and a half years to save money for this trip, and now I have made it !

“Trip” is the more natural noun to refer to your traveling. Congratulations on your trip! :D

My travel will be continued. My travel will be continued.

This is accurate, but it's more natural to say My travel will continue.