Just because you have similar domain names doesn't give you any legal recourse. To have legal recourse you need to prove infringement of some sort.
Let me provide you a prima facia example of it.... this happened a few years back.
MicroSoft sued Mr. Mike Rowe.
Microsoft claimed infringement because of phonetic pronunciation. Mike Rowe registered the name "MikeRoweSoft.com" which when spoken sounds exactly like MicroSoft.com.
He was sued and he had to give up the name immediately.
In your situation this doesn't apply,
On a further note:
Your site doesn't have https enabled and Google warns you not to enter the site.
Your competitor takes so long to load that the site times out.
So fix your https and forget about the other site.