Today

I have decided to go (on going) on a trip to Europe this Spring.
I'm really excited about it (.I) and want to finish my exam/s early.....

The title should be written with initial capitals. Spring needs to be capitalised, as well. Your second and third sentences are short and can be easily combine to make it read a little better. 

Good luck with your plans.

Today

I have decided to go for a trip to Europe this Spring.
I'm so excited about it and want to finish my exams as soon as possible.

Comments:

Red - grammatical corrections.

Blue - stylistical corrections. (Just my interpretations, you can use it as an alternative variation or can use your words, they are good too)

You wrote well. Well done!
Really nice decision, hope you travel all around Europe. There are so many places to visit there. You won't regret. Good luck on your exams.