Since the issue keeps coming up - and since the posts which actually discuss the issue are way back in the archives it seems that a new tread is in order to go over the evidence.
For the initial post I will simply focus on the claims of chariot wheels.
The claims originate with Ron Wyatt, an "amateur archaeologist". Amateurs can do good work, but there is no evidence that Ron Wyatt ever did any. Instead we see a whole stream of grandiose assertions, none of which have ever been adequately corroborated - and some of which are almost certainly false. Indeed, Ron Wyatt's claims are NOT accepted even by the major Young Earth Creationist organisations ICR or AiG, which would be expected to be strongly biased in favour of many of his claims.
There are three major claims of chariot wheels from the Wyatt camp.
The Gold Wheel
This wheel is the only clear wheel seen in photographs.
The Problems with the Gold Wheel
This wheel was allegedly seen on Wyatt's expedition, was left behind and has not been seen since. We have only the word of the Wyatt camp as to anything beyond the photograph which contains no scale or anything to clearly identify the location. The lack of a scale is especially important because it is standard archaeological practice to include one or some other indication of the size of the photographed object.
The story behind the discovery of the wheel is itself suspicious. Supposedly it was found while in a boat, using a "molecular frequency generator" a pseudoscientific device consisting of a pair of dowsing rods connected to a box of electronic junk - often literal junk. In fact in tests dowsing has been shown to work only when the operator knows what the result should be. If the story is true then it strongly suggests that Wyatt already knew that the wheel was there - likely planted by him.
And in fact the photograph does look rather as if the wheel was planted, clear of anything but a lump of coral that seems to rest on it. It also doesn't look much like a typical Egyptian chariot wheel. In fact one investigator did turn up a more plausible suggestion as to what it might be. A brass hand-wheel from an old steamship. These are apparently relatively cheap and easy to find. The size difference would not be a problem since there is nothing to measure it against.
In short the evidence seems to favour fraud in this case.
The Recovered Wheel
The Wyatt expedition claimed to have recovered a wheel and taken it to be identified by an Egyptian archaeologists who identified it immediately as coming from the 18th Dynasty.
This story comes only from the Wyatt camp, with no corroboration. The wheel itself is missing and cannot be examined. It all comes down to the word of Ron Wyatt and his associates.
Even worse, the 18th Dynasty is not too likely a time for the Exodus. In an effort to shoehorn it in the Wyatt camp attempted a massive rewrite of the history of that Dynasty, which relies multiple cases of identifying two distinct individuals as the same person - even Moses turns out to be two different people ! The evidence against this rewrite is so strong that it cannot be considered even remotely plausible. Another blow to the credibility of the Wyatt camp.
The Coral Formations
The region does appear to include a number of coral formations which resemble wheels on axles.
Nobody can actually tell if the formations actually grew around wheels - and if they did whether they are chariot wheels, or wheels from a much later period.
So far what evidence we do have seems to indicate a more recent origin. The amount of coral growth seems very, very small for a period of ~3500 years. The Wyatt camp reported traces of rust - which cannot possibly come from 18th Dynasty chariot wheels which would use no iron in their construction. If there are wheels under the coral then a more recent origin seems far more likely.
While it might be objected that these issues do not prove that the formations do not contain chariot wheels, that is far from providing any reason to think that they do. I have asked more than once for evidence that these formations do contain chariot wheels and gotten none.
So that is it. A suspect photograph. A suspect story. And coral formations that might contain wheels - but no evidence that those wheels came from chariots.