The Logo for My Own Business Card

I am a starting out graphic designer/art director and would like to work on my own logo which I would use on my business cards, website, etc.

After playing around with my name I decided to incorporate only my initials. My first name is Lina and I  do have two last names, so I was playing around with letters L, P and B.

After numerous sketches I seemed to come back to the 3 and 4 sketches as it does seem to be the closest to my aesthetics. I do tend to favor round letters and also it did seem like it is referencing to the infinity symbol, which I think looks cool. I know it incorporates only L and P, but I might be willing to sacrifices B for a better look.

I'm very happy to be part of this class and I'm looking forward to all the suggestions of how to make it better.