This is from the Expert Law library: There is an old joke that "an oral contract isn't worth the paper it's written on". That's a reference to the fact that it can be very difficult to prove that an oral contract exists. Absent proof of the terms of the contract, a party may be unable to enforce the contract or may be forced to settle for less than the original bargain. Thus, even when there is not an opportunity to draft up a formal contract, it is good practice to always make some sort of writing, signed by both parties, to memorialize the key terms of an agreement. This is end of info from EL library.

Oral contracts are normally very hard to enforce as binding due to the he said/she said problem. Also, "wording" can play a part. If you were asked "would" you be willing to accept $10.00 an hr. as opposed to I'm offering you $10.00 an hr. (which might be binding), the "would" could be interpreted as not a binding offer.

It seems you found new employment - good luck there.