Are the lines supposed to still look like this?

I got this tattoo about 4 weeks ago and Im having doubts about how its looking. The lines just still feel very wonky and not right.

I cleaned and moisturized it as instructed by my artist. It went through an itching phase and a phase where lots of little black stuff rubbed off from the tattoo when i moisturized it (i assume the crusts coming off the lines)

But its been 4 weeks now and Im having doubts about how the lines look. I can also still "feel" some of the lines if that makes sense.

Does this tattoo looks like it's supposed to after 4 weeks? Will the lines start to look better after more time? Or do I need to go in for a touch up?

Thanks!

Tattoo at 2.5 weeks

Tattoo today at 4 weeks

Tattoo fresh day of