Why doesn't Faraday's Law include speed of EM wave $$\nabla\times \overrightarrow{E} = -\frac{d\overrightarrow{B}}{dt} $$
Faraday's Law says: any change in the magnetic field causes circulation of electric field.
$$\mathbf{\nabla \times B} = \mu_0 \mathbf{j} + \frac{1}{c^2}\frac{\partial \mathbf{E}}{\partial t}$$
Maxwell's Law says: any change in the electric field causes circulation of magnetic field.
Right?
1-) If it is right, then why doesn't Faraday law have a speed of light parameter but Maxwell has?
2-) Is it because Faraday is all about the electric current in the wire and Maxwell's Law is about vacuum?
3-) Is that the difference between Maxwell's and Faraday's Law?
 A: If you work in Gaussian units, where the electric and magnetic field appear on the same footing and have the same units, Faraday's law does contain a factor of $1/c$
$\nabla \times \mathbf{E} = -\frac{1}{c}\frac{\partial \mathbf{B}} {\partial t}$.
In Gaussian units, Ampere's equation takes the form
$\nabla \times \mathbf{B} = \frac{4\pi}{c}\mathbf{J} + \frac{1}{c}\frac{\partial \mathbf{E}} {\partial t}$,
where there is now single factor of $c$ in the denominator of both terms on the right-hand side. The advantage of Gaussian units is that they emphasize the fact that $\mathbf{E}$ and $\mathbf{B}$ come together to form the single electromagnetic field (sometimes written $F_{\mu\nu}$).
The real difference between Faraday's and Ampere's equations is the lack of a "magnetic monopole current" in Faraday's law. Despite the symmetry that such a term would add to the equations, no compelling experimental evidence for monopoles has ever been found.
A: Your question seemed to be answered by Einstein in his February 1929 article in the NY Times. Source is https://mathshistory.st-andrews.ac.uk/Extras/Einstein_NY_Times
In his own words below:
"On the other hand, the services rendered by the special theory of relativity to its parent, Maxwell's theory of the electromagnetic field, are less adequately recognized. Up to that time, the electric field and the magnetic field were regarded as existing separately even if a close causal correlation between the two types of field was provided by Maxwell's field equations. In fact, the same condition of space, which in one coordinate system appears as a pure magnetic field, appears simultaneously in another coordinate system in relative motion as an electric field and vice versa."
