If you can't understand the guy, probably nobody at the Client can understand him, either. That's Strike One.
Strike Two is the "Right to Represent". I've been around Contract Engineering for most of my life. I NEVER saw a "Right to Represent" until very recently, and I've only seen it once. It has always been understood that the first Shop that submitted you on a particular job had squatter's rights on you FOR THAT PARTICULAR JOB. This was a gentlemen's agreement that never had to be put in writing. It was enforced by certain very large, well-known Client companies automatically rejecting any contractor that was submitted by two or more Shops. The assumption was that if you didn't know you'd already been submitted, you probably didn't know anything else, either. (Yes, an incompetent Shop could screw you over this way. The word very quickly got around about that kind of thing, and such a Shop would very quickly be out of business.)
The corollary on this is that you MUST know where the Shop has submitted you, every time, because you MUST be able to tell them, "Sorry, you can't submit me on that one, I'm already submitted with FGH Shop."
To me, a demand from a Shop that I sign a Right to Represent is a red flag. It tells me that they do not understand how Contract Engineering is done in the US. When the Right to Represent includes a salary that is significantly below both my contracting rate AND the industry going rate for the position and experience stated, as was the case on the one such that I've seen, I would take it as an indication that I should have nothing whatsoever to do with that Shop.
Now, having said all that: If you have signed a Right to Represent with a particular Shop for a particular gig, you're bound by it. If the Client accepts you for the job, you go, do your best, and learn from the experience. If the Client declines you for that job, you're done for that job. If another Shop calls you about that req, you explain that you were already submitted by XYZ Shop and the Client has already declined you.
If you signed an exclusive Right to Represent for ALL jobs, and you are not getting paid for your "on-the-beach" time, you have made a very bad mistake. Call them up and revoke it. If they will not allow you to revoke it with a simple telephone call, consult an attorney and get it broken. This will cost you some money: consider it part of your tuition in the School of Hard Knocks.
It isn't clear from what you've said whether you've actually signed a Right to Represent with this Shop or not. From what you have said, I would suggest not signing it, and talking instead with other Shops. It sounds as though you would be better off working with other Shops.