Part Writing - Is that how it works?

Hey Guys,

Happy new Year!

Since new years eve parties are canceled almost all over the world I tried to be productive and do a little part writing / counterpoint exercise.
I have no idea how to do it, just tried to fill in the gaps, move stuff around and tried to not double thirds too much.
What do you think? How can it be improved?

PS: The song is based on the Theme of one of my absolute favorite games (Monkey Island), beautiful soundtrack and excellent game.

 

Thanks Bjarke!
Ah parallel fifths and octaves should be avoided? (To be honest I haven't read anything on that matter before trying this out)
After a quick research I found this: "The issue is that the notes of a perfect fifth blend so well together that they almost sound like one note rather than two. This makes parallel fifths out of style IF that style demands independence of voices"

I see, so in order to let the lines be more independent from another one should avoid parallel fifths and octaves (if desired).

Thanks for the hint!