Could the Solon have carried out such reforms to make all the inhabitants of Athens happy?

You can’t please everyone. The interests of different segments of the population were directly opposite. On the one hand, Solon significantly limited the rights of the clan nobility, on the other hand, he did not justify all the hopes of the demos, who wanted the redistribution of land on the basis of universal equality. Only a compromise policy was possible, and this led to the emergence of dissatisfied people in each of the camps.