Your exemple looks preaty good, why do you not use that one?

It's not mine and it's very low resolution so I can't do anything with it. Something very similar to that is what we want though. Client doesn't like the green checkmark; but does like green for some component in the logo.

Hi please leave feedback, and please let me know if I am on right track or no. Regards B.

Looking forward to your feedback on my submission. Thanks in advance.