We European citizens and Newropeans, the first European citizen movement created to democratize the European Union, demand for the European elections to be truly European and democratic.

To give some tips:

1. Remove any mention of Newropeans in the petition, especially the bolded part above. It does not add anything, scares away possible signatories and if the petition strikes big you will be the one sending press-releases anyway since you started it. (In those press-releases you should include your party name a lot.)
   
2. Point 1 and 5 are really good, but the rest need some work. They are often fussy as demands - we want this, or at least that! - and need to be shorter and more to the point. I would put a demand for proportional representation EU-wide as number 2.
   
3. Reformulate point 3. Demand instead the possibility of registering pan-EU (this is your initial grievance).
   
4. Strike point 4, or reformulate. I am uncertain what you mean with it. Do you mean that every poster should be financed by the EU? With no upper limit?