This has been fixed; also I think bugs should be reported in the product forum.

Tested code:

void Main()
{

}

// Define other methods and classes here

public class MyClass1
{
static MyClass1()
{
}
public MyClass1()
{
}
}

Set cursor on MyClass1, hit F2 and enter a new name.
Both constructors should be renamed accordingly.

Tested v5.02.03 => NOK (constructor is renamed, static constructor not)
Tested v5.03.01 => OK (both constructors are renamed)