TL;DR : No, even if one chooses to interpret the excerpt of the Qur'an as such, the maths don't hold up
I am going to base this answer on your second source, as the calculation there is reduced to the minimum which makes it a lot easier to show its flaws. This is an answer on the mathematical aspect of the problem, not covering the interpretation of the quote.
In a simple calculation based on the real month, the moon travels 2152612.27 km around earth in compete round. This distance represents the length of the orbit that the moon takes while a complete round during one month.
Wrong. According to NASA, the circumference of the orbit of the moon around Earth is 2'413'402.16 km.
Now, how long is a month? A sidereal month is 27.21 days in solar days of 24 h (86'400). Note the definition of a day in the source, which is 86'164 this is also correct, but that's a sidereal day, meaning a day as measured in relation to the positions of the stars and not the sun.
So the distance per year is: 2152612.27 × 12 = 25831347 km
And in one thousand year is: 25831347 × 1000= 25831347000 km
There's another problem. One year doesn't have 12 months. The Islamic Calendar Year has 355 days. Considering a month of 27.21 days as mentioned above, 1000 years are equal to 13'019 months.
With this we can calculate the distance the moon travels in 1000 years, which is roughly 28'000'000'000 km.
The cosmic speed = 25831347000 ÷ 86164 = 299792 km\ second which is exactly the speed of the light.
Assuming this correspond to the distance light will travel in one day, we get a speed of 324'000 km/s which is more than the speed of light (roughly 300'000 km). Using the sidereal day won't help, as this will only make the value bigger.
Now in a lot of the calculations they use the synodic month instead (29.53 days). This will indeed decrease the number of months but this effect will be entirely canceled out as this leads to a proportional increase in the orbit circumference. (One cannot define the month with one definition of the orbit and then use another definition of the day to calculate the distance per day.
In all three sources they come to the result either by mixing up different definitions of days, orbits and the like and omitting any explanation for it. Or by using overly complicated calculations to an easy problem to hide those errors in a lot of smart looking maths.