Yes, there are actually quite a number of businesses that still use the fax machine, and there are quite a few shippers that refuse to allow drivers to fax customs papers to either the customs broker or back to the carrier. For us, when the shipper does that there is an additional $75.00 extra stop charge, because it actually is an extra stop.
In regards to the contract issue, you are correct in assuming the contract is null and void, as if it never existed, if a) the company hiring you has not signed it, and b) if the company hiring you has not supplied you with a signed copy. The easiest way to tell if they are actually reading the copy you signed and sent back is to change something in the wording by crossing out the original, inserting your own text, and initialing it. If they bring the subject up, they are reading it, and if they don't, they are not.
For what it's worth, there are very few transportation contracts out there that a good lawyer can't get around or out of. The first mistake usually made by those issuing contracts is that they try to contract out of law, meaning they try to say that their contract clause(s) come before the law. Even a bad lawyer will have a field day with that one. The biggest mistake usually made is they try to contract control of your trucks. That's the one I let them do. In the event of a catastrophic event where your truck is liable, that contract forwards care and control, and subsequent liability, to someone else ... i.e. Sperl v. Henry et al which has C.H. Robinson paying 23.8 million dollars to the injured parties. Lastly, you should always forward contracts to your insurance carrier before you sign them. Typically insurance companies have really, really good lawyers and you get to use them for opinions as part of the premium you pay. If you don't have that option, rethink who you're insuring with. Sometimes broker contracts (for lack of a better description) are so poorly worded that insurance company lawyers will tell you to hurry up and sign them ... LOL
A good contract is fair in both directions. From our perspective, we're seeing more and more of these.
Always remember that the courts favor the party that did not write the contract.