Call TK and ask for assistance with the fare rules. TK will not likely touch a TA ticket, but it can certainly provide the fare rules. I know that you have cut & pasted something in your OP, but it is not clear to me that those are complete.
If the fare rules do have a limit, you are SOL.
Presuming that they do not, you may then press Vayama, bearing in mind that you will pay not only TK's penalty and fare difference, but Vayama's ticket reissuance fee on top of all of that.
Not to berate you because it is too late, but anytime you book through a TA, you are stuck with not only the carrier's rules and fees, but anything that the TA imposes above that. There are many, many, many complaints about Vayama available from a quick search, so it boggles that anyone still uses them.