The pharaoh at the time was Rameses.
The Israelites did not escape. They left Egypt in an orderly fashion, with their livestock, after receiving Pharaoh's permission to do so (Exodus ch.12).
Alexander the Great invaded and conquered Egypt in 332.BC and left Ptolemy in charge of the country as Pharoah in 305.BC
It says they left Egypt in haste.
He answered them more than once (Exodus ch.5 to 11), but the gist of all the answers was that he refused to free the Israelites. (Sometimes he spoke of his own volition, not as an answer, and did proclaim the Israelites' emancipation, but in each case [except ch.12] he soon retracted.)
The Israelite s left Egypt for Canaan.
In 1513 B.C., when the Israelites left Egypt.
it's possible
There is no indication of his name in the Bible, but scholars call him Pharoah 128, to presume it was Ramses or anyone else is best left to those who do not answer questions on here. And incidentally, no one, Pharaoh or otherwise, drove Moses out of Egypt. Moses went to Pharaoh and demanded he let Moses and his people go (they were slaves in Egypt, not people Pharaoh would be inclined to drive away since they were his cheap labor force). When Pharaoh would not let Moses and the Israelites go, 10 plagues descended upon Egypt one at a time until finally Pharaoh let Moses and his people leave. Pharaoh quickly changed his mind and chased Moses (to either capture them all or kill them all) to the Red Sea where Moses and his people safely crossed the sea and Pharaoh's men/army were all swallowed up by the sea.
According to the narrative in the Torah, all of the Israelites left Egypt.
Moses of the Bible was born at the age of zero, left Egypt and fled to Midian at 40, returned to Egypt at 80 to confront Pharaoh and lead the Children of Israel out, and died on the threshold of the Promised Land at 120.
Yes.
They were all direct descendants of the patriarch Jacob.