If the $5.35 shipping charge was the quoted shipping price to your region,the seller is not allowed to increase the shipping cost after the listing ends.
Does the listing offer shipping to your country?
If you haven't accidentally bid on and won a listing with shipping to the US only,then all you have to pay is the quoted shipping price.
You might want to send this link to your seller,it contains the selling practices policy.
The relevant portion is in the what not to do section of the terms and conditions section.